Properties of the Number 5072

Five Thousand Seventy-Two

Basics

Value: 5071 → 5072 → 5073

Parity: even

Prime: No

Previous Prime: 5059

Next Prime: 5077

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 317

Divisors: 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001111010000

Octal: 11720

Duodecimal: 2B28

Hexadecimal: 13d0

Square: 25725184

Square Root: 71.21797525905943

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 n such that Bernoulli number B_n has denominator 510. A271634

Expansion of 1 + ∑_k>0 x^k^2/((1-x)(1-x²)...(1-x^2k)). A122129

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nXk array. A219627

Expansion of ∏_m>=1 (1 + q^m)^3·m. A27346

T(n,k)=Number of (n+5)X(k+5) binary arrays with every 6X6 subblock commuting with each horizontal and vertical neighbor 6X6 subblock. A186619

The number of irreducible balanced subsets of [n]. A389802

a(n) = A389802(2·n). A389804

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

Table of the numerators of the fractions of Bernoulli twin numbers and their higher-order differences, read by antidiagonals. A168516

Even numbers not divisible by 3 which are not of the form p + 3^x with p prime. A282430