Properties of the Number 80816

Eighty Thousand Eight Hundred Sixteen

Basics

Value: 80815 → 80816 → 80817

Parity: even

Prime: No

Previous Prime: 80809

Next Prime: 80819

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 5051

Divisors: 1, 2, 4, 8, 16, 5051, 10102, 20204, 40408, 80816

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011101110110000

Octal: 235660

Duodecimal: 3A928

Hexadecimal: 13bb0

Square: 6531225856

Square Root: 284.2815505797026

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 integer partitions of n without choosable initial intervals. A387118

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

Triangle T(n,k) read by rows: number of k X k symmetric matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n. A138177

G.f. A(x) satisfies ∑_n>=1 A(xⁿ - 3·xⁿ⁺¹) = x. A377103

Number of polymings with n cells, distinguishing mirror images. A340341

Number of minimum connected dominating sets in the n-Keller graph. A381761

Triangle read by rows in which n-th row gives trajectory of n (omitting n itself) under the map k -> k+1 if k odd, k -> k/2 if k even. A80816