Properties of the Number 10143

Ten Thousand One Hundred Forty-Three

Basics

Value: 10142 → 10143 → 10144

Parity: odd

Prime: No

Previous Prime: 10141

Next Prime: 10151

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 ² × 23

Divisors: 1, 3, 7, 9, 21, 23, 49, 63, 69, 147

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110011111

Octal: 23637

Duodecimal: 5A53

Hexadecimal: 279f

Square: 102880449

Square Root: 100.71246198956712

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) is the number of partitions of n (the partition numbers). A41

Number of partitions of n into even parts. A35363

Number of ways to partition 2n+1 into positive integers. A58695

Number of partitions of n with at least one odd part. A86543

Number of atoms in a decahedron with n shells. A4068

Number of non-biquanimous integer partitions of n. A371795

a(n) = (50·n⁷ - 1197·n⁶ + 11333·n⁵ - 53655·n⁴ + 132125·n³ - 156828·n² + 73212·n + 5040)/5040. A161715

Partition numbers of the form 3·k. A87183

Irregular triangle read by rows: T(n,k) is the number of k-partitions of {1..2n} that are invariant under a permutation consisting of n 2-cycles (1 <= k <= 2n). A293181

T(n,k) is the number of n-bead necklaces labeled with numbers -k..k allowing reversal, with sum zero. A208825