Properties of the Number 12345

Twelve Thousand Three Hundred Forty-Five

Basics

Value: 12344 → 12345 → 12346

Parity: odd

Prime: No

Previous Prime: 12343

Next Prime: 12347

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 823

Divisors: 1, 3, 5, 15, 823, 2469, 4115, 12345

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Representations

Binary: 11000000111001

Octal: 30071

Duodecimal: 7189

Hexadecimal: 3039

Square: 152399025

Square Root: 111.1080555135405

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

Triangle of the gods: to get a(n), concatenate the decimal numbers 1,2,3,...,n. A7908

a(0) = 0; for n>0, a(n) = 10·a(n-1) + n. A14824

Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically. A30299

Concatenation of the numbers from 1 to n but omitting 12. A262582

Number of digits '0' in the set of all numbers from 0 to A014824(n) = ∑_i=1..n i·10^n-i = (0, 1, 12, 123, 1234, 12345, ...). A277830

Number of digits '9' in the set of all numbers from 0 to A014824(n) = ∑_i=1..n i·10^n-i = (0, 1, 12, 123, 1234, 12345, ...). A277849

Concatenate next digit at right hand end (where the next digit after 9 is again 0). A57137

a(n) = floor(10ⁿ⁺¹/81). A57932

Number of '8' digits in the set of all numbers from 0 to A014824(n) = ∑_i=1..n i·10^n-i = (0, 1, 12, 123, 1234, 12345, ...). A277838

Number of integer partitions of n containing all divisors of all parts. A371178