Properties of the Number 12145

Twelve Thousand One Hundred Forty-Five

Basics

Value: 12144 → 12145 → 12146

Parity: odd

Prime: No

Previous Prime: 12143

Next Prime: 12149

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 347

Divisors: 1, 5, 7, 35, 347, 1735, 2429, 12145

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 10111101110001

Octal: 27561

Duodecimal: 7041

Hexadecimal: 2f71

Square: 147501025

Square Root: 110.20435563080073

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 comparisons required to create all permutations of n distinct elements using the "streamlined" version of Algorithm L (lexicographic permutation generation) from Knuth's The Art of Computer Programming, Vol. 4, chapter 7.2.1.2. A79884

Sum of largest parts (counted with multiplicity) of all partitions of n into odd parts. A92310

Number of n-node graphs with two connected components. A275165

Number of non-equivalent ways to place 2 non-attacking kings on an n X n board. A279111

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having a diagonal absolute difference less than its antidiagonal absolute difference. A250841

Sum of the largest parts in the partitions of n into 8 parts. A308998

Inverse Moebius transform of A000056. A350156

a(n) = n³ - n + 1. A61600

Values of the family of polynomials y = xⁿ - x - 1 at point x = discriminant of y. A174306

Centered 44-gonal numbers. A195318