Properties of the Number 61988

Sixty-One Thousand Nine Hundred Eighty-Eight

Basics

Value: 61987 → 61988 → 61989

Parity: even

Prime: No

Previous Prime: 61987

Next Prime: 61991

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 15497

Divisors: 1, 2, 4, 15497, 30994, 61988

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 1111001000100100

Octal: 171044

Duodecimal: 2BA58

Hexadecimal: f224

Square: 3842512144

Square Root: 248.9738942138312

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

Number of (n+2) X 3 binary arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock. A190025

T(n,k) = A321119(n) - (-1)^k*A321119(n-2·k)/2 for 0 < k < n, with T(0,0) = 0 and T(n,0) = T(n,n) = A002530(n+1) for n > 0, triangle read by rows; unreduced numerator of the weights of Holladay-Sard's quadrature formula. A321118

Triangle read by rows: T(n,k) is the unreduced numerator of the k-th weight in the quadrature rule for parabolic runout spline with respect to a mesh of n + 1 points. A321121

Find smallest k such that kⁿ is a sum of n n-th powers, say kⁿ = T(n,1)ⁿ + ... + T(n,n)ⁿ. Sequence gives triangle of successive rows T(n,1), ..., T(n,n). T(n,1) = ... = T(n,n) = 0 indicates no solution exists. A61988

a(n) = n-th row common denominator of A321121. A321122

A simple context-free grammar in a labeled universe: labeled version of A052710. A52725