Properties of the Number 61984

Sixty-One Thousand Nine Hundred Eighty-Four

Basics

Value: 61983 → 61984 → 61985

Parity: even

Prime: No

Previous Prime: 61981

Next Prime: 61987

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 13 × 149

Divisors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111001000100000

Octal: 171040

Duodecimal: 2BA54

Hexadecimal: f220

Square: 3842016256

Square Root: 248.96586111352696

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

Sum of factorial-Catalan numbers over a certain family of decorations. A289431

Coefficient of xⁿ in ∏_k>=1 ((1+x^k)/(1-x^k))^n². A304448

Expansion of (Sum x^n², n = -inf .. inf )^-16. A4417

3-apexes of ω: numbers k such that ω(k-3) < ω(k-2)< ω(k-1) < ω(k) > ω(k+1) > ω(k+2) > ω(k+3), where ω(m) = the number of prime factors of m, counting multiplicity. A76760

a(n) = 1 + a([n/2]) + a([n/3]) with a(0) = 0. A61984

Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock summing to a prime. A251611