Properties of the Number 12354

Twelve Thousand Three Hundred Fifty-Four

Basics

Value: 12353 → 12354 → 12355

Parity: even

Prime: No

Previous Prime: 12347

Next Prime: 12373

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 29 × 71

Divisors: 1, 2, 3, 6, 29, 58, 71, 87, 142, 174

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000001000010

Octal: 30102

Duodecimal: 7196

Hexadecimal: 3042

Square: 152621316

Square Root: 111.14854924829204

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

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

Number T(n,k) of sets of nonempty words with a total of n letters over k-ary alphabet such that all k letters occur at least once in the set; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A319501

a(n) = n*(16·n² - 21·n + 7)/2. A260260

Number of partitions of n such that (least part) < (multiplicity of greatest part). A240178

Permutations of 12345: Numbers having each of the decimal digits 1,...,5 exactly once, and no other digit. A178475

G.f. A(x) satisfies: A(x) = x * (1 + A(x))⁵ / (1 - 2·A(x)). A365668

Number of permutations of length n avoiding 12345 and 12354. A224295

a(n) = 2·3ⁿ - 3·2ⁿ. A245804

Number of sets of nonempty words with a total of n letters over ternary alphabet such that all letters occur at least once in the set. A320204

Concatenation of all the distinct permutations of the first 1, 2, 3, ... (strictly) positive integers, arranged in ascending numerical order. A352991