Properties of the Number 12357

Twelve Thousand Three Hundred Fifty-Seven

Basics

Value: 12356 → 12357 → 12358

Parity: odd

Prime: No

Previous Prime: 12347

Next Prime: 12373

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1373

Divisors: 1, 3, 9, 1373, 4119, 12357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000001000101

Octal: 30105

Duodecimal: 7199

Hexadecimal: 3045

Square: 152695449

Square Root: 111.16204388189342

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

Number T(n,k) of defective parking functions of length n and defect k; triangle T(n,k), n>=0, 0<=k<=max(0,n-1), read by rows. A264902

Number of compositions of n with distinct first quotients. A342529

Expansion of (1-x-2·x²)/(1-2·x-3·x²-4·x³+4·x⁴). A108480

Number of ways to place 4 nonattacking knights on an n X n toroidal board. A172531

a(n) = ∑_{k=0..floor(n/4)} C(n-2·k,2·k)*2^k. A98575

Odd numbers for which σ(k) is congruent to 2 modulo 4 and the 3-adic valuation of k is one larger than the 3-adic valuation of σ(k). A351534

Lucky numbers with size of gaps equal to 20 (upper terms). A31903

Smallest number m such that exactly n odd numbers can be seen as proper subsequences of m in decimal representation. A164766

The Pnictogen sequence: a(n) = A018227(n)-3. A271995

Number of integers in n-th generation of tree T(-3/4) defined in Comments. A274151