Properties of the Number 61568

Sixty-One Thousand Five Hundred Sixty-Eight

Basics

Value: 61567 → 61568 → 61569

Parity: even

Prime: No

Previous Prime: 61561

Next Prime: 61583

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁷ × 13 × 37

Divisors: 1, 2, 4, 8, 13, 16, 26, 32, 37, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111000010000000

Octal: 170200

Duodecimal: 2B768

Hexadecimal: f080

Square: 3790618624

Square Root: 248.12899870833317

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

Period of the Lucas 4-step sequence A073817 mod n. A106295

Period of the Lucas 4-step sequence A073817 mod prime(n). A106296

a(n) = σ(2·n³) - σ(n³). A225959

a(n) = 1·t(n) + 2·t(n-1) + ... + k·t(n+1-k), where k=floor((n+1)/2) and t = A000032 (Lucas numbers). A23861

Number of 2n-bead balanced binary strings, rotationally equivalent to complement, inequivalent to reverse and reversed complement. A45659

Number of strings of numbers x(i=1..7) in 0..n with sum i·x(i)² equal to n·49. A184446

Numbers of the form (24·x + 1)*2^y+6 with positive integers·and y. A231203

Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 3 and no antidiagonal sum 3 and no row sum 0 and no column sum 0. A256744

Numbers k such that k = rad(k) * sopfr(k), where rad(k) is the squarefree kernel of k and sopfr(k) the integer log of k. A280935

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 3 and no antidiagonal sum 3 and no row sum 0 and no column sum 0. A256748