Properties of the Number 52556

Fifty-Two Thousand Five Hundred Fifty-Six

Basics

Value: 52555 → 52556 → 52557

Parity: even

Prime: No

Previous Prime: 52553

Next Prime: 52561

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7 × 1877

Divisors: 1, 2, 4, 7, 14, 28, 1877, 3754, 7508, 13139

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100110101001100

Octal: 146514

Duodecimal: 264B8

Hexadecimal: cd4c

Square: 2762133136

Square Root: 229.25095419648747

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 integer partitions of n of even rank. A340601

Numbers k such that A003415(k) == A276085(k) (mod 2310), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function. A391864

A(n,k) = (1/k!) * ∑_i₁=1..n ∑_i₂=1..n ... ∑_{i_k=1..n} (-1)^{i₁ + i₂ + ... + i_k} * multinomial(i₁ + i₂ + ... + i_k; i₁, i₂, ..., i_k), square array A(n,k) read by antidiagonals, for n >= 0, k >= 0. A308356

a(n) = -∑_i=1..n ∑_j=1..n ∑_k=1..n (-1)^i+j+k * (i+j+k)!/(3!*i!*j!*k!). A307350

Number of nX3 binary arrays with no element equal to the sum mod 3 of its horizontal and vertical neighbors. A183365

Number of nX4 0..1 arrays with every element unequal to 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A304259

a(n) = (1/n!) * ∑_i₁=1..5 ∑_i₂=1..5 ... ∑_{i_n=1..5} (-1)^{i₁ + i₂ + ... + i_n} * multinomial(i₁ + i₂ + ... + i_n; i₁, i₂, ..., i_n). A308390

Array A(k,n) of the number of points of the A_k lattice with maximum infinity norm n, read by antidiagonals. A175197

Expansion of e.g.f. 1/(1-x-x³). A52556