Properties of the Number 61796

Sixty-One Thousand Seven Hundred Ninety-Six

Basics

Value: 61795 → 61796 → 61797

Parity: even

Prime: No

Previous Prime: 61781

Next Prime: 61813

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 2207

Divisors: 1, 2, 4, 7, 14, 28, 2207, 4414, 8828, 15449

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111000101100100

Octal: 170544

Duodecimal: 2B918

Hexadecimal: f164

Square: 3818745616

Square Root: 248.58801258306886

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

Greatest number m such that the fractional part of (3/2)^A153662(n) <= 1/m. A153666

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A305692

a(n) = ceiling(n*φ¹⁶), where φ is the golden ratio, A001622. A4971

a(n) = round(n*φ¹⁶), where φ is the golden ratio, A001622. A4951

Numbers n such that d(n-2) = d(n) = d(n+2) = 12 where d(n)=A000005(n). A190645

Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A305687

Number of nX6 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A305690

The sum of the numbers on the perimeter of the n X n diamond frame, located at the top of the numerical pyramid containing the positive integers in natural order. A359096

Molien series for complete weight enumerators of Hermitian self-dual codes over GF(9). A92354

Number of distinct sums σ(i) + σ(j) for 1<=i<=j<=n, where σ(k) = A000203(k). A61796