Properties of the Number 58513

Fifty-Eight Thousand Five Hundred Thirteen

Basics

Value: 58512 → 58513 → 58514

Parity: odd

Prime: No

Previous Prime: 58511

Next Prime: 58537

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 13 × 643

Divisors: 1, 7, 13, 91, 643, 4501, 8359, 58513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010010010001

Octal: 162221

Duodecimal: 29A41

Hexadecimal: e491

Square: 3423771169

Square Root: 241.894605148606

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

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 5x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >=3, where u = p(2,x), v = 1 - x - x². A367210

a(n) = 4·a(n-1) + 17·a(n-2), a(1)=1, a(2)=4. A97705

a(n) is the number of endofunctions on an n-set where there is an element with a preimage of cardinality greater than n/2. A351118

The Wiener index of the graph \|/_\/_\/_..._\/_\|/ having n nodes on the horizontal path. A180571

Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= (n-3)/3. A48029

McKay-Thompson series of class 15b for Monster. A58513