Properties of the Number 61769

Sixty-One Thousand Seven Hundred Sixty-Nine

Basics

Value: 61768 → 61769 → 61770

Parity: odd

Prime: No

Previous Prime: 61757

Next Prime: 61781

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 19 × 3251

Divisors: 1, 19, 3251, 61769

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111000101001001

Octal: 170511

Duodecimal: 2B8B5

Hexadecimal: f149

Square: 3815409361

Square Root: 248.53369992819887

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) = (2·n+1)*(4·n²+4·n+3)/3. A57813

a(n) = a(n-1) + a(n-2) + a([n/3]), where a(0) = 1, a(1) = 1, a(2) = 1. A298340

Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254899

Number of (n+2)X(5+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254904

Number of (5+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254911

Interprimes which are of the form s·prime, s=19. A75294

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254907

The least number k = a(n) > a(n-1) for which k!/(k+1)^m for increasing m's. A61769

Number of 4Xn 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A231249

Number of (n+1)X(3+1) arrays of permutations of 0..n·4+3 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1. A264374