Properties of the Number 56601

Fifty-Six Thousand Six Hundred One

Basics

Value: 56600 → 56601 → 56602

Parity: odd

Prime: No

Previous Prime: 56599

Next Prime: 56611

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 × 331

Divisors: 1, 3, 9, 19, 57, 171, 331, 993, 2979, 6289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110100011001

Octal: 156431

Duodecimal: 28909

Hexadecimal: dd19

Square: 3203673201

Square Root: 237.9096467148821

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 distinct functions f representable as x -> x^x^...^x with n x's and parentheses inserted in all possible ways giving result f(0)=1, with conventions that 0⁰=1⁰=1¹=1, 0¹=0. A222380

Numbers k such that k¹⁰ == 1 (mod 11⁴). A56094

Map from binary trees of size n to the set of corresponding trivalent plane trees (tpt) represented as size 2n+1 general trees. A83930

Smallest m such that |A258057(m)| = n. A258765

Centered cuboctahedral numbers: the number of integer triples (x,y,z) such that max(|x|,|y|,|z|) <= n and |x|+|y|+|z| <= 2n. A371532

Square array A(n, k) = σ((2n-1)²) * σ((2k-1)²), read by antidiagonals. A379220

Series for 2nd perpendicular moment of square lattice bond percolation near a wall (eventually goes negative). A56601