Properties of the Number 61966

Sixty-One Thousand Nine Hundred Sixty-Six

Basics

Value: 61965 → 61966 → 61967

Parity: even

Prime: No

Previous Prime: 61961

Next Prime: 61967

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 30983

Divisors: 1, 2, 30983, 61966

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111001000001110

Octal: 171016

Duodecimal: 2BA3A

Hexadecimal: f20e

Square: 3839785156

Square Root: 248.92970895415436

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 T(n,k) of isoscent sequences of length n with exactly k ascents; triangle T(n,k), n>=0, 0<=k<=n+3-ceiling(2·sqrt(n+2)), read by rows. A242351

Number of partitions p of n such that the number of parts having multiplicity 1 is a part or max(p) - min(p) is a part. A241451

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of (B(x)/x)^k, where B(x) is the g.f. of A376176. A384621

Number of isoscent sequences of length n with exactly six ascents. A243232

a(n) = T(n,n) + T(n,m+1) + ... + T(n,n), where m=[ (n+2)/2 ], T given by A027011. A27021

Integers k such that 28*φ(29·197³*k) is not a totient number where φ is the totient function. A361396

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 13 (most significant digit on right). A61966