Properties of the Number 27770

Twenty-Seven Thousand Seven Hundred Seventy

Basics

Value: 27769 → 27770 → 27771

Parity: even

Prime: No

Previous Prime: 27767

Next Prime: 27773

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 2777

Divisors: 1, 2, 5, 10, 2777, 5554, 13885, 27770

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110001111010

Octal: 66172

Duodecimal: 140A2

Hexadecimal: 6c7a

Square: 771172900

Square Root: 166.6433316997713

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 Dyck n-paths starting U^mD^m (an m-pyramid), followed by a pyramid-free Dyck path. A35929

Number of ways to place a non-attacking white and black pawn on n X n chessboard. A35290

a(n) = sum of the side lengths of the minimum containing squares of all partitions of n. A368985

Numbers n such that σ(n)=2n-φ(φ(n)). A110073

a(n) = sum of minimal runlengths of all the partitions of n. A364808

Numbers k such that k and k² use only the digits 0, 1, 2, 7 and 9. A136833

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 1), (0, 0, -1), (0, 0, 1), (1, 0, -1)}. A148579

a(n) = (n + 1)*binomial(n + 1, 10). A27770