Properties of the Number 53496

Fifty-Three Thousand Four Hundred Ninety-Six

Basics

Value: 53495 → 53496 → 53497

Parity: even

Prime: No

Previous Prime: 53479

Next Prime: 53503

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 743

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101000011111000

Octal: 150370

Duodecimal: 26B60

Hexadecimal: d0f8

Square: 2861822016

Square Root: 231.2920232087566

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

a(n) is the sum of mutual Manhattan distances of the A117609(n) distinct grid points (x_i,y_i,z_i) in a cubic lattice such that x_i² + y_i² + z_i² <= n. A393008

Triangle T(n,k) read by rows: T(n,1) = T(n,n)=1, otherwise T(n,k) = (3n-3k+1)*T(n-1,k-1) + k*(3k-2)*T(n-1,k), 1<=k<=n. A166962

Expansion of e.g.f. ∏_k>=1 (1 + log(1 + x)^k). A298905

Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant > n. A211151

σ(n)-n values in A085844. A216383

Number of degree-n permutations of order dividing 6. A53496

Number of 5Xn binary arrays without the pattern 1 1 0 diagonally or antidiagonally. A189113