Properties of the Number 5056

Five Thousand Fifty-Six

Basics

Value: 5055 → 5056 → 5057

Parity: even

Prime: No

Previous Prime: 5051

Next Prime: 5059

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 79

Divisors: 1, 2, 4, 8, 16, 32, 64, 79, 158, 316

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111000000

Octal: 11700

Duodecimal: 2B14

Hexadecimal: 13c0

Square: 25563136

Square Root: 71.10555533852471

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

Expansion of e.g.f. exp(x)/(1-x)³. A82030

Numbers whose divisors can be partitioned in exactly one way into two disjoint sets with the same sum. A83209

Number of compositions of n with equal number of even and odd parts. A98123

a(n) is the number of n-tosses having a run of 3 or more heads for a fair coin (i.e., probability is a(n)/2ⁿ). A50231

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252305

Numbers with prime factorization p·q⁶. A189987

Triangle T(n,k) giving number of Dyck paths of length 2n with exactly k hills (0 <= k <= n). A65600

Compound filter (prime signature & sum of the divisors): a(n) = P(A046523(n), A000203(n)), where P(n,k) is sequence A000027 used as a pairing function. A286360

Numbers with 14 divisors. A30632

a(n) = (5·n-7)*(n-1). A147874