Properties of the Number 12342

Twelve Thousand Three Hundred Forty-Two

Basics

Value: 12341 → 12342 → 12343

Parity: even

Prime: No

Previous Prime: 12329

Next Prime: 12343

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 11 ² × 17

Divisors: 1, 2, 3, 6, 11, 17, 22, 33, 34, 51

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000000110110

Octal: 30066

Duodecimal: 7186

Hexadecimal: 3036

Square: 152324964

Square Root: 111.09455432198286

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

a(n) = n*(n² - 6·n + 11)/6. A50407

Coefficients in expansion of ∑_{n >= 1} xⁿ/(1-xⁿ)⁴. A59358

Fifth partial sums of fourth powers (A000583). A254681

Number of distinct values taken by the entropy for permutations of [1..n], where the entropy of a permutation π is ∑_k=1..n (π(k)-k)². A126972

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A301330

a(n) = n²*(n+1)*(3·n+1)/4. A213827

Sum of three solutions of the Diophantine equation x² - y² = z³. A85409

Array of generalized Eulerian numbers C(n,k) read by antidiagonals. A211235

Number of triples (w,x,y) with all terms in {0,...,n} and w <= floor((x+y)/3). A212973

Expansion of ∑_k>=1 x^k/(1 + x^k)⁴. A320901