Properties of the Number 40692

Forty Thousand Six Hundred Ninety-Two

Basics

Value: 40691 → 40692 → 40693

Parity: even

Prime: No

Previous Prime: 40639

Next Prime: 40693

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 3391

Divisors: 1, 2, 3, 4, 6, 12, 3391, 6782, 10173, 13564

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111011110100

Octal: 117364

Duodecimal: 1B670

Hexadecimal: 9ef4

Square: 1655838864

Square Root: 201.72258178002778

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) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 0,1 1,0 or -1,-2. A264285

Consecutive states of the linear congruential pseudo-random number generator 40692·s mod (2³¹-249) when started at s=1. A384400

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3) and Hilbert 3-class field tower of exact length 2. A242864

Number of partitions of n having no odd singletons (n>=0). A265256

Number of integer-sided hexagons having perimeter n. A124286

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3) and 3-principalization type (2241). A247689

Number of 0..n arrays of length 7 with each element differing from at least one neighbor by 1 or less, starting with 0. A221686

Number of (n+1) X (3+1) arrays of permutations of 0..n·4+3 with each element having directed index change 0,0 0,1 1,0 or -1,-2. A264280

Number of (7+1) X (n+1) arrays of permutations of 0..n·8+7 with each element having directed index change 0,0 0,1 1,0 or -1,-2. A264291

Number of strings of numbers x(i=1..8) in 0..n with sum i·x(i)³ equal to 8·n³. A184725