Properties of the Number 58116

Fifty-Eight Thousand One Hundred Sixteen

Basics

Value: 58115 → 58116 → 58117

Parity: even

Prime: No

Previous Prime: 58111

Next Prime: 58129

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 29 × 167

Divisors: 1, 2, 3, 4, 6, 12, 29, 58, 87, 116

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110001100000100

Octal: 161404

Duodecimal: 29770

Hexadecimal: e304

Square: 3377469456

Square Root: 241.0726031717416

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

Numbers that are the sum of seven fourth powers in ten or more ways. A345576

Expansion of 1/(1-x⁴-x⁵-x⁶-x⁷-x⁸-x⁹-x¹⁰). A17832

Number of 5X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 5 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192705

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A000201 (lower Wythoff sequence). A24474

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A000201 (lower Wythoff sequence). A25094

Triangle read by rows: T(n,k) is the number of isomorphism classes of commutative semigroups of order n with k idempotents. A58116