Properties of the Number 5008

Five Thousand Eight

Basics

Value: 5007 → 5008 → 5009

Parity: even

Prime: No

Previous Prime: 5003

Next Prime: 5009

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 313

Divisors: 1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110010000

Octal: 11620

Duodecimal: 2A94

Hexadecimal: 1390

Square: 25080064

Square Root: 70.76722405181653

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 the decimal expansions of both n and n² have 0 as smallest digit and 8 as largest digit. A256708

Number of "ON" cells at n-th stage in simple 2-dimensional cellular automaton (see Comments for precise definition). A160410

Number of integer partitions y of n such that y_i = y_i+1 for all even i. A351003

Number of integer partitions of n such that, for all parts·of multiplicity 1, either x - 1 or x + 1 is also a part. A355393

A triangle related to the a(n) formulas of the rows of the ED4 array A167584. A167591

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors. A238929

Irregular triangular array read by rows. T(n,k) is the number of ordered set partitions of [n] with exactly k descents, n>=0, 0<=k<=binomial(n,2). A381299

Number of integer partitions of n whose parts have choosable sets of strict integer partitions. A387178

Number T(n,k) of self-inverse permutations p on [n] where the maximal displacement of an element equals k: k = max_i=1..n |p(i)-i|; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A238889

Four times the sum of all divisors of all positive integers <= n. A243980