323 (number)

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323 (three hundred [and] twenty-three) is the natural number following 322 and preceding 324.

Cardinalthree hundred twenty three

Ordinal323d (three hundred twenty-third)

Factorization17 × 19

Divisors1, 17, 19, 323

323

← 0 100 200 300 400 500 600 700 800 900 →

three hundred twenty three

323d (three hundred twenty-third)

17 × 19

1, 17, 19, 323

ΤΚΓ´

CCCXXIII

101000011₂

102222₃

1255₆

503₈

22B₁₂

143₁₆

323 is a semiprime, and the product of two consecutive prime numbers (17 × 19).
323 is the sum of nine consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53) and the sum of the 13 consecutive primes (5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47)
323 is the eighth Motzkin number, $M_{8}$ , meaning there are 323 ways to draw non-intersecting chords between eight points on a circle.^[1]
323 is the first Lucas pseudoprime with parameters (P, Q) defined by Selfridge's method.^[2]^[3]
323 is the first Fibonacci pseudoprime (Lucas pseudoprime with P = 1 and Q = -1).^[4]

References

↑ Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n (labeled) points on a circle.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
↑ Sloane, N. J. A. (ed.). "Sequence A217120 (Lucas pseudoprimes.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
↑ Baillie, Robert; Wagstaff, Samuel S. (1980). "Lucas pseudoprimes". Mathematics of Computation. 35 (152): 1391–1417. doi:10.1090/S0025-5718-1980-0583518-6. ISSN 0025-5718.
↑ Sloane, N. J. A. (ed.). "Sequence A081264 (Odd Fibonacci pseudoprimes: odd composite numbers k such that either (1) k divides Fibonacci(k-1) if k == +-1 (mod 5) or (2) k divides Fibonacci(k+1) if k == +-2 (mod 5).)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

\mathbb {Z}

−2, −1

0 to 199

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100 to 199

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400s, 500s, and 600s	700s, 800s, and 900s
400 420 440 495 496 500 501 511 512 555 600 610 613 616 666 693	700 720 743 744 777 786 800 801 836 840 880 881 888 900 911 971 987 999

1000s and 10,000s
1000s	1000 1001 1023 1024 1089 1093 1105 1234 1289 1458 1510 1728 1729 1980 1987 2000 2520 3000 3511 4000 5000 5040 6000 6174 7000 7744 7825 8000 8128 8192 9000 9855 9999
10,000s	10,000 16,807 20,000 30,000 40,000 50,000 60,000 64,079 65,535 65,536 65,537 70,000 80,000 90,000

100,000s to 10,000,000,000,000s
100,000 142,857 144,000 1,000,000 10,000,000 43,112,609 100,000,000 1,000,000,000 2,147,483,647 4,294,967,295 10,000,000,000 100,000,000,000 1,000,000,000,000 10,000,000,000,000

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