Properties of the Number 12703

Twelve Thousand Seven Hundred Three

Basics

Value: 12702 → 12703 → 12704

Parity: odd

Prime: Yes

Previous Prime: 12697

Next Prime: 12713

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 12703

Divisors: 1, 12703

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110011111

Octal: 30637

Duodecimal: 7427

Hexadecimal: 319f

Square: 161366209

Square Root: 112.70758625753636

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

Array read by antidiagonals: T(n,k) is the number of non-isomorphic n X n nonnegative integer matrices with all row and column sums equal to k up to permutations of rows and columns. A333733

a(n) = 15n² + 3n + 1. A165806

Primes p for which exactly four bases b with 1 < b < p exist such that p is a base b Wieferich prime. A255207

a(n) is the index of the last occurrence of n in A316774. A316984

Minimal positive solution a(n) of Diophantine equation a(n)² - a(n)*b(n) - G(n)*b(n)² = +1 or -1 with G(n) := A078358(n). The companion sequence is b(n)=A077058(n). A77057

Primes p such that 10p+1 divides 2^p-1. A188133

Largest prime number p such that xⁿ + yⁿ mod p does not take all values on Z/pZ. A355920

a(n) = (n+1)*prime(n) + n·prime(n+1). A97240

Primes congruent to 12 mod 37. A142121

Prime numbers p_k such that p_k == 3 (mod 10) and p_k+1 == 3 (mod 10). A332676