Properties of the Number 46016

Forty-Six Thousand Sixteen

Basics

Value: 46015 → 46016 → 46017

Parity: even

Prime: No

Previous Prime: 45989

Next Prime: 46021

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁶ × 719

Divisors: 1, 2, 4, 8, 16, 32, 64, 719, 1438, 2876

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001111000000

Octal: 131700

Duodecimal: 22768

Hexadecimal: b3c0

Square: 2117472256

Square Root: 214.51340284467076

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 T(n,k) of n-step walks on cubic lattice starting at (0,0,0), ending at (x,y,z) with x=k, remaining in the first (nonnegative) octant and using steps (0,0,1), (0,1,0), (1,0,0), (-1,1,1), (1,-1,1), and (1,1,-1); triangle T(n,k), n>=0, 0<=k<=n, read by rows. A328297

Number of partitions of 5n such that cn(0,5) < cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5). A36893

G.f.: ∑_k>=0 x^k² * ∏_j=1..k ((1 + x^j)/(1 - x^j))². A376854

Number of (n+1) X (3+1) 0..2 arrays with the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. A237632

Discriminants of imaginary quadratic fields with class number 19 (negated). A46016