Properties of the Number 12503

Twelve Thousand Five Hundred Three

Basics

Value: 12502 → 12503 → 12504

Parity: odd

Prime: Yes

Previous Prime: 12497

Next Prime: 12511

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 12503

Divisors: 1, 12503

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000011010111

Octal: 30327

Duodecimal: 729B

Hexadecimal: 30d7

Square: 156325009

Square Root: 111.8168144779666

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) = a(n-1) + 2·a(n-3) with a(0)=a(1)=1, a(2)=3. A3229

Expansion of 1/(1-x-2·x³). A77949

Mother primes of order 9. A136068

T(n,k)=Number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and three times sum of squares <= n·k*(k+1). A208814

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having zero or two 1s. A251219

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,3,0,1,2 for x=0,1,2,3,4. A198013

Primes p such that p+8, p+86, p+864 are prime. A236302

Primes of form 4·k^k + 3. A301808

Total area under all lattice paths from (0,0) to (n,0) that do not go below the x-axis, and at (x,y) only allow steps (1,v) with v in {-1,0,1,...,y+1}. A333071

Primes such that successive differences are increasing palindromes. A87581