Properties of the Number 12763

Twelve Thousand Seven Hundred Sixty-Three

Basics

Value: 12762 → 12763 → 12764

Parity: odd

Prime: Yes

Previous Prime: 12757

Next Prime: 12781

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 12763

Divisors: 1, 12763

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111011011

Octal: 30733

Duodecimal: 7477

Hexadecimal: 31db

Square: 162894169

Square Root: 112.97344820797495

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

Expansion of 1/(1 - x³ - x⁴ - x⁵ + x⁸). A225482

Primes for which A049076 >= 4. A49090

Primes prime(k) for which A049076(k) = 4. A49080

Number of integer partitions of n such that neither the run-lengths nor the negated run-lengths are unimodal. A332640

Primes that divide at least one term of Sylvester's sequence s = A000058: s(n+1) = s(n)² - s(n) + 1, s(0) = 2. A7996

Self-inverse permutation of natural numbers: a(1)=1, then a(p_n)=c_a(n), a(c_n)=p_a(n), where p_n = n-th prime, c_n = n-th composite. A236854

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302367

The first of two consecutive primes with equal digital sums. A66540

Number of graphs with n nodes and n-1 edges. A1433

Largest prime below prime(n)² (A001248). A54270