Properties of the Number 32296

Thirty-Two Thousand Two Hundred Ninety-Six

Basics

Value: 32295 → 32296 → 32297

Parity: even

Prime: No

Previous Prime: 32261

Next Prime: 32297

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 11 × 367

Divisors: 1, 2, 4, 8, 11, 22, 44, 88, 367, 734

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111111000101000

Octal: 77050

Duodecimal: 16834

Hexadecimal: 7e28

Square: 1043031616

Square Root: 179.7108789138821

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

Number of geometrically distinct open knight's tours of a 3 X n chessboard. A169777

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222690

Triangle read by rows: T(n,k) = number of j-covers of [n] with j<=k, k=1..2ⁿ-1. A369950

T(n,k)=Number of nXk arrays of permutations of 0..n·k-1 with rows nondecreasing modulo 4 and columns nondecreasing modulo 7. A264831

Expansion of (1/x) * Series_Reversion( x * (1 - x - x²/(1 - x)²) ). A378467

Number of pairs of partitions of n that are successors in reverse lexicographic order, but incomparable in dominance (natural, majorization) ordering. A248475

Number of nX3 0..2 arrays with exactly floor(nX3/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222685

Number of 6Xn 0..2 arrays with exactly floor(6Xn/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222695

Consecutive states of the linear congruential pseudo-random number generator (2041·s + 25673) mod 121500 when started at s=1. A385362

Least positive integer which, when added to each of the first n Mersenne primes, yields all primes. A185372