Properties of the Number 10157

Ten Thousand One Hundred Fifty-Seven

Basics

Value: 10156 → 10157 → 10158

Parity: odd

Prime: No

Previous Prime: 10151

Next Prime: 10159

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 1451

Divisors: 1, 7, 1451, 10157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011110101101

Octal: 23655

Duodecimal: 5A65

Hexadecimal: 27ad

Square: 103164649

Square Root: 100.78194282707592

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

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹⁰ in powers of x. A1488

T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nXk array. A219441

Dispersion of A016873, (5k+2), by antidiagonals. A191704

Number of integer partitions of n whose product is a proper multiple of n. A380219

Number of symmetric foldings of 2n+1 stamps. A7822

Number of primes between n² and n³. A79648

Triangle of coefficients of polynomials v(n,x) jointly generated with A210858; see the Formula section. A210859

Number of Gram blocks [g(j), g(j+1)) up to 10ⁿ, 0 <= j < 10ⁿ, which contain exactly two zeros of Z(t), where Z(t) is the Riemann-Siegel Z-function. A231164

Number of compositions of n into distinct parts with exactly two descents. A241721

Numbers k such that b(k) is prime, where b(1) = prime(1) = 2, b(n) = 10·b(n-1) + (prime(n) mod 10). A276481