Properties of the Number 12558

Twelve Thousand Five Hundred Fifty-Eight

Basics

Value: 12557 → 12558 → 12559

Parity: even

Prime: No

Previous Prime: 12553

Next Prime: 12569

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 13 × 23

Divisors: 1, 2, 3, 6, 7, 13, 14, 21, 23, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100001110

Octal: 30416

Duodecimal: 7326

Hexadecimal: 310e

Square: 157703364

Square Root: 112.06248257110852

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

Numbers k such that (68·10^k + 7)/3 is prime. A270613

Products of exactly 5 distinct primes. A46387

Numbers k that divide the number of partitions of k into distinct parts (A000009). A56848

3 times 13-gonal (or tridecagonal) numbers: a(n) = 3·n*(11·n - 9)/2. A153875

Triangle read by rows: T(n,k) gives number of ways of arranging n chords on a circle with k simple intersections (i.e., no intersections with 3 or more chords) - positive values only. A67311

Number of basis partitions (or basic partitions) of n. A66447

Numbers n such that sopf(φ(n)) = φ(sopf(n)), where sopf(x) = sum of the distinct prime factors of x. A76531

a(1) = 1; for n > 1, a(n) = prime(A101296(n)-1) * a(floor(n/2)). A292258

Coefficient triangle of the denominators of the (n-th convergents to) the continued fraction 1/(w+2/(w+3/(w+4/... . Conjectured to equal unsigned version of A137286. A180048

Heinz numbers of complete strict integer partitions. A325986