Properties of the Number 81178

Eighty-One Thousand One Hundred Seventy-Eight

Basics

Value: 81177 → 81178 → 81179

Parity: even

Prime: No

Previous Prime: 81173

Next Prime: 81181

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 37 × 1097

Divisors: 1, 2, 37, 74, 1097, 2194, 40589, 81178

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110100011010

Octal: 236432

Duodecimal: 3AB8A

Hexadecimal: 13d1a

Square: 6589867684

Square Root: 284.91753192810023

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 all the parts in the partitions of n into 9 parts. A326464

Sum of all even numbers in Collatz (3x+1) trajectory of n. A213909

Number of permutations of floor(i·7/4), i=0..n-1, with all sums of two and three adjacent terms respectively unique. A147895

Numbers n such that sopfr(n) - (floor(sqrt(n))*bigomega(n)) = floor(sqrt(n)). A180877

Expansion of 2·x*(1 - x)/(1 - 3·x + x²). A52995

a(0) = 1; for n>=1, a(n) = ∑_k=0..n 7^k*N(n,k), where N(n,k)=(1/n)*C(n,k)*C(n,k+1) are the Narayana numbers (A001263). A81178