Properties of the Number 12468

Twelve Thousand Four Hundred Sixty-Eight

Basics

Value: 12467 → 12468 → 12469

Parity: even

Prime: No

Previous Prime: 12457

Next Prime: 12473

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 1039

Divisors: 1, 2, 3, 4, 6, 12, 1039, 2078, 3117, 4156

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010110100

Octal: 30264

Duodecimal: 7270

Hexadecimal: 30b4

Square: 155451024

Square Root: 111.66019881766287

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

T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically. A207358

T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z z+1 z horizontally and z z-1 z vertically. A207989

Susceptibility series for b.c.c. lattice. A2925

Number of distinct sums of subsets of the first n squares {1,4,9,...,n²}. A208531

Augmentation of the Fibonacci triangle A193588. See Comments. A193589

a(n) = (2·n³ + 9·n² + n + 24) / 6. A160805

Sum of the remainders when n² is divided by squares less than n. A67459

Integer log of (numerator of convergent to E / denominator of convergent to E) = A001414(A007676/A007677) = A001414(A007676)-A001414(A007677). A136122

Number of 2n-bead necklaces labeled with numbers 1..n not allowing reversal, with neighbors differing by exactly 1. A208722

Number of incidences in the poset of conjugacy classes of subgroups of the alternating group. A218922