Properties of the Number 10006

Ten Thousand Six

Basics

Value: 10005 → 10006 → 10007

Parity: even

Prime: No

Previous Prime: 9973

Next Prime: 10007

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 × 5003

Divisors: 1, 2, 5003, 10006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100010110

Octal: 23426

Duodecimal: 595A

Hexadecimal: 2716

Square: 100120036

Square Root: 100.02999550134949

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 partitions with no even part repeated; partitions of n in which no parts are multiples of 4. A1935

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 3, read by rows. A157149

Expansion of ψ(x) / φ(x) in powers of·where φ(), ψ() are Ramanujan θ functions. A83365

Numbers in which 0 outnumbers all other digits together. A292730

Number of unlabeled distributive lattices on n nodes. A6982

Numbers k such that k+1, k²+1 and k⁴+1 are primes. A70325

Number of nonnegative solutions to x² + y² + z² <= n². A604

The 60-degree spoke (or ray) of a hexagonal spiral of Ulam. A244802

Centered 23-gonal numbers. A69174

Number of partitions of 2n+1 in which no parts are multiples of 4. A81056