Properties of the Number 11745

Eleven Thousand Seven Hundred Forty-Five

Basics

Value: 11744 → 11745 → 11746

Parity: odd

Prime: No

Previous Prime: 11743

Next Prime: 11777

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 5 × 29

Divisors: 1, 3, 5, 9, 15, 27, 29, 45, 81, 87

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10110111100001

Octal: 26741

Duodecimal: 6969

Hexadecimal: 2de1

Square: 137945025

Square Root: 108.37435120913067

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

Numbers k such that bsigma(k) = bsigma(k+1), where bsigma(k) is the sum of the bi-unitary divisors of k (A188999). A293183

Number of n-step walks on square lattice in the first quadrant which finish at distance n-3 from the x-axis. A5564

a(n) = n*(14·n - 1). A195024

Numbers whose square can be represented in exactly two ways as the sum of a positive square and a positive fourth power. A345700

T(n,k)=Number of nXk 0..2 white square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j). A230652

Expansion of ∏_k>=1 1/((1 - x^2·k-1)^k*(3·k-1/2)*(1 - x^2·k)^k*(3·k+1/2)). A294591

a(n) = 104·n + 9977. A126978

T(n,k)=Number of nXk 0..2 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value 2-x(i,j). A230661

Number of paraffins (see Losanitsch reference for precise definition). A6010

Structured disdyakis triacontahedral numbers (vertex structure 7). A100159