Properties of the Number 80584

Eighty Thousand Five Hundred Eighty-Four

Basics

Value: 80583 → 80584 → 80585

Parity: even

Prime: No

Previous Prime: 80567

Next Prime: 80599

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 7 × 1439

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 1439, 2878

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011101011001000

Octal: 235310

Duodecimal: 3A774

Hexadecimal: 13ac8

Square: 6493781056

Square Root: 283.8732111348304

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

a(n) = T(n, n-2), where T is given by A026519. Also number of integer strings s(0), ..., s(n), counted by T, such that s(n) = 2. A26522

a(n) = T(n, n-2), T given by A026552. Also a(n) = number of integer strings s(0), ..., s(n) counted by T, such that s(n) = 2. A26555

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing rowwise and columnwise. A235531

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise. A235756

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A115263 based on (1,2,3,4,...); by antidiagonals. A202673

Number of (n+1)X(1+1) 0..2 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing rowwise and columnwise. A235527

Members of a pair (m,k) such that σ(m) = σ(k) = σ(m+k), m < k where σ = A000203. A239436

Irregular triangle read by rows: T(n,m) = number of lattice paths of type B^H terminating at point (n, m). A291085

A run of 3·2ⁿ 0's followed by a run of 3·2ⁿ 1's, for n=0, 1, 2, ... A80584