Properties of the Number 12006

Twelve Thousand Six

Basics

Value: 12005 → 12006 → 12007

Parity: even

Prime: No

Previous Prime: 11987

Next Prime: 12007

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 23 × 29

Divisors: 1, 2, 3, 6, 9, 18, 23, 29, 46, 58

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111011100110

Octal: 27346

Duodecimal: 6B46

Hexadecimal: 2ee6

Square: 144144036

Square Root: 109.57189420649804

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

Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits. A20342

21-gonal numbers: a(n) = n*(19n - 17)/2. A51873

Number of integer partitions of n whose negated first differences (assuming the last part is zero) are not unimodal. A332744

Coefficients in the power series A(x) such that: A(x) = ∑_n=-oo..+oo x^3·n+2 * (1 - x^n-1)ⁿ⁺¹ * A(x)ⁿ. A357161

Numbers k such that iterating φ(σ(k)-φ(k)) starting from k leads to the fixed point 8064. A77096

a(n) = 5·n² + 1. A212656

Numbers k such that k⁶ == 1 (mod 7⁴). A56092

Sum of n-th antidiagonal of array in A081998. A82001

Numbers n such that P(11·n) is prime where P(n) is the partition number. A113499

Sum of numbers in the n-th antidiagonal of the reciprocity array of 0. A259574