Properties of the Number 12347

Twelve Thousand Three Hundred Forty-Seven

Basics

Value: 12346 → 12347 → 12348

Parity: odd

Prime: Yes

Previous Prime: 12343

Next Prime: 12373

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 12347

Divisors: 1, 12347

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000000111011

Octal: 30073

Duodecimal: 718B

Hexadecimal: 303b

Square: 152448409

Square Root: 111.11705539655017

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 upwards antidiagonals: T(m,n) = number of set partitions into distinct parts of the multiset consisting of one copy each of x₁, x₂, ..., x_m, and two copies each of y₁, y₂, ..., y_n, for m >= 0, n >= 0. A322770

Smallest prime of the form: n successive positive integers in ascending order followed by a 7. A114756

Greatest number m such that the fractional part of (3/2)^A153663(n) >= 1-(1/m). A153667

Greatest number m such that the fractional part of (3/2)^A153664(n) >= 1-(1/m). A153668

Smallest n-digit prime with strictly increasing digits. A71362

Primes p such that q-p = 26, where q is the next prime after p. A124594

Number of partitions p of n such that 2*(number of even numbers in p) > (number of odd numbers in p). A241655

Expansion of 1/(1 + x*∏_k>=1 1/(1 - x^k)). A318581

Primes which are not the sum of consecutive composite numbers. A37174

Numbers (with nonzero digits only) where A046810 increases. A46811