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Properties of the Number 27424

Twenty-Seven Thousand Four Hundred Twenty-Four

Basics

Value: 27423 → 27424 → 27425

Parity: even

Prime: No

Previous Prime: 27409

Next Prime: 27427

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 5 × 857

Divisors: 1, 2, 4, 8, 16, 32, 857, 1714, 3428, 6856

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101100100000

Octal: 65440

Duodecimal: 13A54

Hexadecimal: 6b20

Square: 752075776

Square Root: 165.60193235587562

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

Table read by rows: T(n,k) = number of k-gons, k >= 3, formed inside a square with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order n = A006842(n,m)/A006843(n,m), m = 1..A005728(n). A358889
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1. A256029
Product of n and the sum of all divisors of all positive integers <= n. A256533
Coordination sequence for 4-dimensional face-centered cubic orthogonal lattice. A8529
Potential magic constants of a 10 X 10 magic square composed of consecutive primes. A192087
(n-1)-st elementary symmetric function of the first n terms of (1,2,1,4,1,6,1,8,...)=(A124625 for n>1). A203192
Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1. A256023
Number of (n+2)X(7+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1. A256028
Composite numbers k such that binomial(4·k, k) == 4k (mod k). A390043
Number of distinct products ij with 1 <= i, j <= n (number of distinct terms in n X n multiplication table). A27424