Properties of the Number 55680

Fifty-Five Thousand Six Hundred Eighty

Basics

Value: 55679 → 55680 → 55681

Parity: even

Prime: No

Previous Prime: 55673

Next Prime: 55681

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁷ × 3 × 5 × 29

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100110000000

Octal: 154600

Duodecimal: 28280

Hexadecimal: d980

Square: 3100262400

Square Root: 235.966099260042

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

Numbers with prime factorization pqrs⁷. A190473

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4. A240347

Numbers k for which A306927(k) [= A001615(k)-k] is a multiple of A344705(k) [= A001615(k)-A001065(k)], and their quotient is nonnegative. A344700

Number of solutions to x² + y² + z² + t² == n (mod 2·n) for x,y,z,t in [0, 2·n). A229294

Riordan array (1/(1-2x), x(1-x)/(1-2x)²). A114164

a(n) = 2ⁿ mod n³. A233442

Numbers k such that k = Product (p_j^e_j) = Product (p_j*(e_j + 1)). A304410

Triangle read by rows: T(n,k) is the number of permutations of length n that have k same elements at the same positions with its inverse permutation for 0 <= k <= n. A344901

Expansion of e.g.f. 1/(1+π/4-arctan(2·x+1)). A199043

Twice A137829. A201078