Properties of the Number 58080

Fifty-Eight Thousand Eighty

Basics

Value: 58079 → 58080 → 58081

Parity: even

Prime: No

Previous Prime: 58073

Next Prime: 58099

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 11 ²

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1110001011100000

Octal: 161340

Duodecimal: 29740

Hexadecimal: e2e0

Square: 3373286400

Square Root: 240.9979253022731

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) = sinh(2·arccosh(n))² = 4·n²*(n² - 1). A173121

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) is 1/2 * (-1 + ∑_j=0..k binomial(2·k,2·j)*(n+1)^k-j*n^j). A322699

Numbers k such that k and k+1 are both divisible by the square of their largest prime factor. A354558

Number of reversible strings with n-1 beads of 2 colors. 7 beads are black. String is not palindromic. A32094

Triangle read by rows: T(n,k) is the number of subpermutations of an n-set whose orbits are each of size at most k, and without fixed points. Equivalently, T(n,k) is the number of partial derangements of an n-set each of whose orbits is of size at most k. A261762

a(n) = 16·n*(n+1)*(2·n+1)². A322677

a(n) = A062401(A065391(n)): φ(σ(m)) peak values for numbers m (listed in A065391) at which those peaks are first reached. A65392

Triangular array of generalized Narayana numbers: T(n, k) = 4·binomial(n+1, k+3)*binomial(n+1, k-1)/(n+1). A145598

Triangle read by rows: T(n,k) is the number of linear chord diagrams on 2n vertices with one marked chord such that exactly k of the remaining n-1 chords are excluded by (i.e., are outside and do not contain) the marked chord. A336601

Numbers with prime factorization pqr^2s^5. A190293