Properties of the Number 15158

Fifteen Thousand One Hundred Fifty-Eight

Basics

Value: 15157 → 15158 → 15159

Parity: even

Prime: No

Previous Prime: 15149

Next Prime: 15161

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 11 × 13 × 53

Divisors: 1, 2, 11, 13, 22, 26, 53, 106, 143, 286

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11101100110110

Octal: 35466

Duodecimal: 8932

Hexadecimal: 3b36

Square: 229764964

Square Root: 123.11782974045636

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 T(n,k) of set partitions of [n] having exactly k pairs (m,m+1) such that m+1 is in some block b and m is in block b+1; triangle T(n,k), n>=0, 0<=k<=n-floor((1+sqrt(max(0,8n-7)))/2), read by rows. A270953

Numbers n for which the digital sum contains the same distinct digits as the digital product but the digital sum is not equal to the digital product. A249335

Numerators of continued fraction convergents to sqrt(853). A42646

Number of permutations of [n] with exactly seven (possibly overlapping) occurrences of the consecutive pattern 1324. A264180

Number of set partitions of [n] having exactly four pairs (m,m+1) such that m+1 is in some block b and m is in block b+1. A270958

Auxiliary r(n) sequence used to prove some properties about Rowland's sequence: r(1) = 1, and r(n) = 1/2*(c(n)+1), where c(n) is A190894, for n>1. A190895

Expansion of ∏_k>=0 1/(1-x^3·k+1)⁴. A261635

Numbers which contain exactly the same digits (with the correct multiplicity) in 3 different smaller bases. A59828

Number of 2 X 2 matrices with elements from {0,1,2,...,n} and with Nim-Determinant 1. (The Nim-Determinant of the 2 X 2 matrix [a,b; c,d] is defined to be a·d xor b·c, where·denotes Nim-Multiplication.) A59954

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (1, 0, -1), (1, 0, 1), (1, 1, -1)}. A149405