Properties of the Number 2563

Two Thousand Five Hundred Sixty-Three

Basics

Value: 2562 → 2563 → 2564

Parity: odd

Prime: No

Previous Prime: 2557

Next Prime: 2579

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 × 233

Divisors: 1, 11, 233, 2563

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101000000011

Octal: 5003

Duodecimal: 1597

Hexadecimal: a03

Square: 6568969

Square Root: 50.62608023538856

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

Generalized 13-gonal numbers: m*(11·m-9)/2 with m = 0, 1, -1, 2, -2, 3, -3, ... A195313

13-gonal (or tridecagonal) numbers: a(n) = n*(11·n - 9)/2. A51865

Numbers that are the sum of 8 positive 9th powers. A3397

Reversion of x*(1-x)*(1-x²)*(1-x³)/(1-x⁶) = x*(1-x)²/(1-x+x²). A109081

a(1)=1; for n>1, a(n) is the smallest number not already present which is a divisor or a multiple of a(1)+...+a(n-1). A109890

a(n) = n³ - 4·n² + 6·n - 2. A188377

Number of reversed integer partitions of 2n whose skew-alternating sum is 0. A357640

Values of n such that L(11) and N(11) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227449

Odd positive integers a(n) such that for every odd integer m > 1 there exists a unique representation of m as a sum of the form a(l) + 2a(s). A145812

Positions of occurrences of the natural numbers as fourth subsequence in A100035. A100039