Properties of the Number 19413

Nineteen Thousand Four Hundred Thirteen

Basics

Value: 19412 → 19413 → 19414

Parity: odd

Prime: No

Previous Prime: 19403

Next Prime: 19417

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 719

Divisors: 1, 3, 9, 27, 719, 2157, 6471, 19413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100101111010101

Octal: 45725

Duodecimal: B299

Hexadecimal: 4bd5

Square: 376864569

Square Root: 139.33054223679747

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 of unordered pairs of partitions of n (into distinct parts) with empty intersection. A108796

G.f.: exp( ∑_n>=1 A322203(n)*xⁿ/n ), where A322203(n) is the coefficient of xⁿ*yⁿ/n in ∑_n>=1 -log(1 - (xⁿ + yⁿ)). A322204

Triangle read by rows in which the binomial transform of the n-th row gives the Euler transform of the n-th diagonal of Pascal's triangle (A007318). A116672

Numbers·such that the sum of all their cyclic permutations is equal to that of all cyclic permutations of σ(x) and all cyclic permutations of Euler totient function φ(x). A247317

Number of parts in all partitions of n with largest multiplicity seven. A320377

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 229", based on the 5-celled von Neumann neighborhood. A270948

Numbers k such that A307437(k) is divisible by 3. A342037

Positions of remoteness 3 in Beans-Don't-Talk. A5695

a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == n (mod 3) so far). A60730

a(n) = coefficient of xⁿ*yⁿ/n in ∑_n>=1 -log(1 - (xⁿ + yⁿ)), for n >= 1. A322203