Properties of the Number 43155

Forty-Three Thousand One Hundred Fifty-Five

Basics

Value: 43154 → 43155 → 43156

Parity: odd

Prime: No

Previous Prime: 43151

Next Prime: 43159

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 7 × 137

Divisors: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010100010010011

Octal: 124223

Duodecimal: 20B83

Hexadecimal: a893

Square: 1862354025

Square Root: 207.73781552716878

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors. A205736

Expansion of ∏_k>=2 1/(1 - x^k)^bigomega(k), where bigomega(k) is the number of prime divisors of k counted with multiplicity (A001222). A293549

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock the same. A205909

T(n,k) = number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and the same number of counterclockwise edge increases as its vertical neighbors. A205917

Starting index of a string of exactly 4 consecutive equal digits in decimal expansion of π. A49520

Number of 2 X (n+1) 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors. A205737

T(n,n-5), where T is the array in A055830. A55832

Expansion of e.g.f. arcsinh(log(x+1) - tanh(x)). A13288

Odd numbers k such that abs(σ(k)-2k) <= sqrt(k). Abundance-radius = abs(σ(k)-2k) does not exceed square root of k and k is odd. A87415

Number of (n+1)X6 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors. A205733