Properties of the Number 2564

Two Thousand Five Hundred Sixty-Four

Basics

Value: 2563 → 2564 → 2565

Parity: even

Prime: No

Previous Prime: 2557

Next Prime: 2579

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 641

Divisors: 1, 2, 4, 641, 1282, 2564

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000000100

Octal: 5004

Duodecimal: 1598

Hexadecimal: a04

Square: 6574096

Square Root: 50.635955604688654

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

Monotonic ordering of set S generated by these rules: if·and y are in S then x² + y² is in S, and 1 is in S. A192476

Numbers that are the sum of 9 positive 9th powers. A3398

Number of primes less than 1000n. A38812

Number of subsets of {1..n} whose greatest element can be written as a (strictly) positive linear combination of the others. A365043

Number of connected cyclic conjugacy classes of subgroups of the symmetric group. A218970

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252679

Triangle read by rows: T(m,n) = ∑_{-m<i<m, -n<j<n, gcd{i,j}=1} (m-|i|)*(n-|j|), m >= n >= 1. A332350

BII-numbers of hypertrees. A326752

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-1) and new values introduced in order 0..2. A275266

BII-numbers of simple labeled graphs. A326788