Properties of the Number 12435

Twelve Thousand Four Hundred Thirty-Five

Basics

Value: 12434 → 12435 → 12436

Parity: odd

Prime: No

Previous Prime: 12433

Next Prime: 12437

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 829

Divisors: 1, 3, 5, 15, 829, 2487, 4145, 12435

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000010010011

Octal: 30223

Duodecimal: 7243

Hexadecimal: 3093

Square: 154629225

Square Root: 111.51233115669316

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

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals: A(n,k) = [x^n²] theta₃(x)^k/(1 - x), where theta₃() is the Jacobi θ function. A302997

Number of points in Z⁷ of norm <= n. A55413

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

Number of integer solutions to (x₁)² + (x₂)² + ... + (x₇)² <= n. A341396

Largest coefficient in expansion of (1 + x + x² + ... + x^n-1)⁵ = ((1-xⁿ)/(1-x))⁵, i.e., the coefficient of x^floor(5*(n-1)/2) and of x^ceiling(5*(n-1)/2); also number of compositions of floor(5*(n+1)/2) into exactly 5 positive integers each no more than n. A77044

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 846", based on the 5-celled von Neumann neighborhood. A290554

Number T(n,k) of proper multisets of nonempty words with a total of n letters over k-ary alphabet such that all k letters occur at least once in the multiset; triangle T(n,k), n>=2, 1<=k<=n-1, read by rows. A320264

Number of points in Zⁿ of norm <= 3. A55427

Largest coefficient of (1 + x + ... + x¹¹)ⁿ. A225779