Properties of the Number 12654

Twelve Thousand Six Hundred Fifty-Four

Basics

Value: 12653 → 12654 → 12655

Parity: even

Prime: No

Previous Prime: 12653

Next Prime: 12659

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 19 × 37

Divisors: 1, 2, 3, 6, 9, 18, 19, 37, 38, 57

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101101110

Octal: 30556

Duodecimal: 73A6

Hexadecimal: 316e

Square: 160123716

Square Root: 112.48999955551605

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

a(n) = floor(n*(n-1)*(n-2)/4). A11886

Palindromic in bases 5 and 7. A249156

a(n) = n*(n+1)*(2·n+1). A55112

Number of integer partitions of n whose median part is the smallest. A361860

Records of minima of the positive distance d between the eleventh power of a positive integer·and the square of an integer y such that d = x¹¹ - y² (x <> k² and y <> k¹¹). A179793

Fourth column (m=3) of (1,6)-Pascal triangle A096956. A96957

Largest area of a Pythagorean triangle with n as length of one of the three sides (in fact as a leg). A55522

Smallest area of a Pythagorean triangle with n as length of a leg. A54436

Coefficient of x² in the polynomial (x-p(n))*(x-p(n+1))*(x-p(n+2))*(x-p(n+3)), where p(k) is the k-th prime. A127348

a(n) = n * ∑_d∣n binomial(d+2,3)/d. A343544