Properties of the Number 27860

Twenty-Seven Thousand Eight Hundred Sixty

Basics

Value: 27859 → 27860 → 27861

Parity: even

Prime: No

Previous Prime: 27851

Next Prime: 27883

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 7 × 199

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110011010100

Octal: 66324

Duodecimal: 14158

Hexadecimal: 6cd4

Square: 776179600

Square Root: 166.91315106965058

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

Convolution of A000203 with itself. A385

Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1 <= k <= m positions can be picked in an m X m square grid such that the picked positions have a central symmetry. A291717

Coefficients in quasimodular form F₂(q) of level 1 and weight 6. A126858

Indices of 0 in A348295: numbers m such that ∑_k=1..m (-1)^{floor(k*(sqrt(2}-1))) = ∑_k=1..m (-1)^A097508(k) = 0. A348299

Inverse matrix of A135494. A298673

a(n) = (-τ(n) + sigma₁₁(n)) / 691, where τ is Ramanujan's τ (A000594), sigma₁₁(n) = ∑_{d divides n} d¹¹ (A013959). A27860

Number of nX3 arrays of occupancy after each element stays put or moves to some king-move neighbor, with every occupancy equal to zero or two. A221335