Properties of the Number 12743

Twelve Thousand Seven Hundred Forty-Three

Basics

Value: 12742 → 12743 → 12744

Parity: odd

Prime: Yes

Previous Prime: 12739

Next Prime: 12757

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 12743

Divisors: 1, 12743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111000111

Octal: 30707

Duodecimal: 745B

Hexadecimal: 31c7

Square: 162384049

Square Root: 112.88489712977551

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

a(n) = prime(n²). A11757

Numbers k such that (3^k + 1)/4 is prime. A7658

Number of solutions to c(1)*prime(4) + ... + c(n)*prime(n+3) = 1, where c(i) = +-1 for i>1, c(1) = 1. A22904

Prime number spiral (clockwise, Northwest spoke). A53999

Partial sums of A068058 + 1. A68059

a(n) = n³ + (n+1)². A100705

Number of equivalence classes of 4 X n binary matrices when one can permute rows, permute columns and complement columns. A6380

Primes of the form (p-1)³/8 + (p+1)²/4 where p is prime. A163424

Primes that are the first in a run of exactly 3 emirps. A346023

Primes of the form k³ + (k+1)². A100662