Properties of the Number 61572

Sixty-One Thousand Five Hundred Seventy-Two

Basics

Value: 61571 → 61572 → 61573

Parity: even

Prime: No

Previous Prime: 61561

Next Prime: 61583

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7 × 733

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111000010000100

Octal: 170204

Duodecimal: 2B770

Hexadecimal: f084

Square: 3791111184

Square Root: 248.13705890092274

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 T(n,k) of permutations of [n] with k ordered cycles such that equal-sized cycles are ordered with increasing least elements; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A285849

Number of permutations of [n] with three ordered cycles such that equal-sized cycles are ordered with increasing least elements. A285854

Numbers k such that Bernoulli number B_k has denominator 3404310. A295596

Array read by antidiagonals: T(n,k) is the number of homeomorphically irreducible leaf colored trees with n leaves of k colors. A339779

a(n) = (n!)² * ∑_k=1..n 1/(k²*(k-1)!). A61572