Properties of the Number 5057

Five Thousand Fifty-Seven

Basics

Value: 5056 → 5057 → 5058

Parity: odd

Prime: No

Previous Prime: 5051

Next Prime: 5059

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 13 × 389

Divisors: 1, 13, 389, 5057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111000001

Octal: 11701

Duodecimal: 2B15

Hexadecimal: 13c1

Square: 25573249

Square Root: 71.11258679024411

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 having a unique part of least multiplicity. A362610

Number of partitions of n in which the sequence of frequencies of the summands is nonincreasing. A100882

a(n) = floor(n*φ¹⁴), where φ is the golden ratio, A001622. A4929

Number of labeled hyperforests spanning n vertices without singleton edges. A304911

a(n) = prime(n) + n!. A121926

Numbers b > 1 such that the smallest three primes, i.e., 2, 3 and 5 are base-b Wieferich primes. A339532

a(n) = n*(15·n - 1)/2. A22272

Primes in carryless arithmetic mod 10 in which all digits except the rightmost are zero or five. A169984

a(1)=1, a(2)=3; for n>=3, a(n) is the smallest number larger than a(n-1) such that, for every k<n, a(n) is relatively prime to a(k) iff n is relatively prime to k. A172980

T(n,k) = Number of (n+3) X (k+3) 0..1 arrays with each row and column divisible by 11, read as a binary number with top and left being the most significant bits. A262240