Properties of the Number 10628

Ten Thousand Six Hundred Twenty-Eight

Basics

Value: 10627 → 10628 → 10629

Parity: even

Prime: No

Previous Prime: 10627

Next Prime: 10631

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 2657

Divisors: 1, 2, 4, 2657, 5314, 10628

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10100110000100

Octal: 24604

Duodecimal: 6198

Hexadecimal: 2984

Square: 112954384

Square Root: 103.09219175087898

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) = ∑_k∣n binomial(n-1,k-1). A271654

Numbers k such that k¹⁶ == 1 (mod 17³). A56088

Numbers that are the sum of eight fourth powers in six or more ways. A345581

Numbers that are the sum of nine fourth powers in eight or more ways. A345592

Numbers that are the sum of eight fourth powers in exactly six ways. A345838

Numbers that are the sum of nine fourth powers in exactly eight ways. A345850

k such that k-th prime is of the form 2n² + 3n + 3. A96690

a(n) = ∑_{k=0..floor(n/2)} (k+1) * binomial(k,n-2·k)². A375218

a(n) = the number of "isolated divisors" of n!. A positive divisor, k, of n is isolated if neither (k-1) nor (k+1) divides n. A133952

Irregular triangle, T(n, k) = coefficients of p(x, n), where p(x, n) = (1-2·x)ⁿ⁺¹ * ∑_j>=0 jⁿ*(x/(1-x))^j, read by rows. A142073