Properties of the Number 11957

Eleven Thousand Nine Hundred Fifty-Seven

Basics

Value: 11956 → 11957 → 11958

Parity: odd

Prime: No

Previous Prime: 11953

Next Prime: 11959

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 11 × 1087

Divisors: 1, 11, 1087, 11957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10111010110101

Octal: 27265

Duodecimal: 6B05

Hexadecimal: 2eb5

Square: 142969849

Square Root: 109.34806811279292

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

Sum of first k numbers in column k of the natural number array A000027; by antidiagonals. A185787

Sum of numbers in n-th upward diagonal of triangle in A079823. A79824

a(n) + a(n+1) + a(n+2) = n³. A152728

Row sums of A154685. A151675

Coefficients of the sixth-order mock θ function phi_-(q). A153251

Number of n X 2 nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down. A252814

Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UH and HU. A329701

Expansion of 1/(1-x³-x⁴-x⁵-x⁶-x⁷-x⁸-x⁹-x¹⁰-x¹¹-x¹²-x¹³). A17826

Number of partitions of n into parts not of the form 25k, 25k+9 or 25k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 11 are greater than 1. A36008

Kekulé numbers for certain benzenoids (see the Cyvin-Gutman book for details). A123355