Properties of the Number 10158

Ten Thousand One Hundred Fifty-Eight

Basics

Value: 10157 → 10158 → 10159

Parity: even

Prime: No

Previous Prime: 10151

Next Prime: 10159

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 1693

Divisors: 1, 2, 3, 6, 1693, 3386, 5079, 10158

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011110101110

Octal: 23656

Duodecimal: 5A66

Hexadecimal: 27ae

Square: 103184964

Square Root: 100.7869039111729

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

Number of length n inversion sequences avoiding the patterns 000, 010, 110, and 120. A279551

a(1)=2; for n>1, a(n)² is next smallest nontrivial square containing a(n-1)² as a substring. A50631

G.f. A(x) satisfies the condition that both G(x) = A(x/G(x)) and H(x) = A(x·H(x)) have zeros for every other coefficient after initial terms; g.f. of dual sequence A157306 satisfies the same condition. A157303

Number of partitions p of n such that the multiplicity of the median of p is a part of p. A240492

Smallest number k such that exactly half the numbers in [1..k] are prime(n)-smooth. A290154

Number of 3-uniform hypergraphs on n labeled vertices where no two edges have exactly one vertex in common. A323297

Cluster series for bond percolation problem on diamond. A3208

a(1)=3; for n>1, a(n)² is next smallest nontrivial square containing a(n-1)² as a substring. A50633

Antidiagonal sums of triangle T defined in A048594: T(j,k) = k! * Stirling1(j,k), 1<= k <= j. A129841

Triangle of coefficients of polynomials u(n,x) jointly generated with A210748; see the Formula section. A210747