Properties of the Number 61776

Sixty-One Thousand Seven Hundred Seventy-Six

Basics

Value: 61775 → 61776 → 61777

Parity: even

Prime: No

Previous Prime: 61757

Next Prime: 61781

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 11 × 13

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 13

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111000101010000

Octal: 170520

Duodecimal: 2B900

Hexadecimal: f150

Square: 3816274176

Square Root: 248.54778212649575

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

Doubly triangular numbers: a(n) = n*(n+1)*(n²+n+2)/8. A2817

Sum of 5th powers: 0⁵ + 1⁵ + 2⁵ + ... + n⁵. A539

Number of integer partitions of n whose length can be written as a nonnegative linear combination of the distinct parts. A367218

Triangular numbers that are the product of two triangular numbers greater than 1. A188630

Coefficient triangle of certain polynomials N(4; m,x). A62264

Triangular numbers that are 6 times other triangular numbers. A77290

Array read by descending antidiagonals: A(n,k) is the number of achiral colorings of the facets of a regular n-dimensional orthotope using up to k colors. A325007

Triangular numbers which are products of triangular numbers larger than 1. A68143

Sum of the fifth powers of the parts in the partitions of n into two parts. A294272

Number of achiral colorings of the 8 cubic facets of a tesseract or of the 8 vertices of a hyperoctahedron. A337958