Properties of the Number 43105

Forty-Three Thousand One Hundred Five

Basics

Value: 43104 → 43105 → 43106

Parity: odd

Prime: No

Previous Prime: 43103

Next Prime: 43117

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 37 × 233

Divisors: 1, 5, 37, 185, 233, 1165, 8621, 43105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010100001100001

Octal: 124141

Duodecimal: 20B41

Hexadecimal: a861

Square: 1858041025

Square Root: 207.6174366473105

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 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum. A185504

Total number of elements in all primitive subsets of the integers 1 to n. A87077

Number of (n+1)X2 0..2 arrays with every 2X2 subblock diagonal sum less antidiagonal sum equal to some horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum. A185498

T(n,n+1), array T given by A047010. A47016

G.f.: A(x) = ∏_n>=1 1/(1 - A_n(x)ⁿ) where A_n(x) denotes the n-th iteration of A(x): A_n(x) = A_n-1(A(x)) with A₀(x)=x. A182970

Numbers k such that 2 and 3 occur juxtaposed in the base-4 representation of k but not of k-1. A43105