Properties of the Number 12394

Twelve Thousand Three Hundred Ninety-Four

Basics

Value: 12393 → 12394 → 12395

Parity: even

Prime: No

Previous Prime: 12391

Next Prime: 12401

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 6197

Divisors: 1, 2, 6197, 12394

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000001101010

Octal: 30152

Duodecimal: 720A

Hexadecimal: 306a

Square: 153611236

Square Root: 111.32834320154055

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

Sum over all partitions λ of n of binomial(|λ|, |{λ}|). A339006

a(n) = (-1)ⁿ*n!*[xⁿ] exp(-x)/(1 + log(1+x)). A291979

Number of representations of n as a sum of products of pairs of positive integers, n = ∑_k=1..m i_k*j_k with i_k<=j_k, i_k<=i_k+1, j_k<=j_k+1, i_k*j_k<=i_k+1*j_k+1. A212214

Numbers k such that k⁸ == 1 (mod 9³). A56084

Parameters n for which the elliptic curve y²=x³-n has rank 4. A179137

L.g.f.: -log(1 - ∑_n>=1 x^n²) = ∑_n>=1 a(n)*xⁿ/n. A219331

Size of the Hilbert basis of the cone { x in Z+ⁿ : (a,x)=0 } where a=(-1,1,2,...,n-2,-(n-1)). A141347

Numbers n such that both n and n² contain "123" as a substring. A268278

G.f. A(x) satisfies: A(x) = x·exp(-A(-x) + A(-x²)/2 - A(-x³)/3 + A(-x⁴)/4 - A(-x⁵)/5 + ...). A306768

a(n) = number of partitions p of n such that the least multiplicity of the parts of p is not a part of p. A365615