Properties of the Number 12092

Twelve Thousand Ninety-Two

Basics

Value: 12091 → 12092 → 12093

Parity: even

Prime: No

Previous Prime: 12073

Next Prime: 12097

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 3023

Divisors: 1, 2, 4, 3023, 6046, 12092

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10111100111100

Octal: 27474

Duodecimal: 6BB8

Hexadecimal: 2f3c

Square: 146216464

Square Root: 109.96363035113019

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 representations of n as a sum of products of positive integers. 1 is not allowed as a factor, unless it is the only factor. Representations which differ only in the order of terms or factors are considered equivalent. A66739

a(n) = T(n,n-1), where T is array defined in A025564. A25565

Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1<=k<=m positions can be picked in an m X m square grid such that the center of gravity of the k picked positions coincides with one of the picked positions. A291716

Number of pairwise coprime compositions of n with no 1's, where a singleton is not considered coprime. A337697

∑_i=0..n ∑_j=0..i a(j) * a(i-j) = (-3)ⁿ. A85455

Triangle read by rows: a(n,k) = number of paths of n upsteps U and n downsteps D that contain k UDUs. A97692

Row sums of triangle A124526. A124527

Parameters n for which the elliptic curve y²=x³+n has rank 4. A179124

Smallest k such that the union of {A242033(i): 1 <= i <= k} and {A242034(i): 1 <= i <= k} includes all primes {3, ..., prime(n)}. A242064

Expansion of ∏_{1 <= i₁ <= i₂ <= i₃ <= i₄} 1/(1 - x^{i₁*i₂*i₃*i₄}). A321566