Properties of the Number 19952

Nineteen Thousand Nine Hundred Fifty-Two

Basics

Value: 19951 → 19952 → 19953

Parity: even

Prime: No

Previous Prime: 19949

Next Prime: 19961

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 29 × 43

Divisors: 1, 2, 4, 8, 16, 29, 43, 58, 86, 116

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110111110000

Octal: 46760

Duodecimal: B668

Hexadecimal: 4df0

Square: 398082304

Square Root: 141.2515486640766

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) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235186

a(n) = 997·n + 1009. A100776

Maximum of |det(A)| where A is an n X n circulant (0,1) matrix over the integers. A86432

McKay-Thompson series of class 36g for the Monster group. A103262

Twice 13-gonal numbers: a(n) = n*(11·n - 9). A152997

Triangle of coefficients of polynomials u(n,x) jointly generated with A209776; see the Formula section. A209775

Consecutive states of the linear congruential pseudo-random number generator 254·s mod (2¹⁶+1) when started at s=1. A384934

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 3 (most significant digit on right and removing all least significant zeros before concatenation). A29520

Number of (n+1) X (3+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235181

Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235183