Properties of the Number 19943

Nineteen Thousand Nine Hundred Forty-Three

Basics

Value: 19942 → 19943 → 19944

Parity: odd

Prime: No

Previous Prime: 19937

Next Prime: 19949

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 ² × 11 × 37

Divisors: 1, 7, 11, 37, 49, 77, 259, 407, 539, 1813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110111100111

Octal: 46747

Duodecimal: B65B

Hexadecimal: 4de7

Square: 397723249

Square Root: 141.2196870128241

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

Numbers that are the sum of 8 nonzero 8th powers. A3386

Triangle T(n,k) by rows: T(n, k) = (n-k+1)*T(n-1, k-1) + k·T(n-1, k) + T(n-2, k-1) with T(n, 1) = T(n, n) = 1. A144438

a(n) = n*(16·n² - 21·n + 7)/2. A260260

a(n) is minimal such that prime factorizations of a(n)-n+1, ..., a(n) have same exponents. A34174

Molien series for group G_1,2⁸ of order 1536. A51462

Triangle read by rows in which the n-th row gives the smallest set of n consecutive numbers with the same prime signatures. A83785

Number of partitions of 1 into distinct fractions i/j with 1<=i<j<=n and i,j coprime. A116084

a(0) = 0, a(1) = 1; for n >= 2, a(n) = a(n-1) + a(n-2) - (n-1) if that number is positive and not already in the sequence, otherwise a(n) = a(n-1) + a(n-2) + (n-1). A117824

Expansion of ∏_m>=1 (1+m·q^m)²². A22650

Number of pairs (λ,μ) of partitions λ of n and μ of nine with μ <= λ (by diagram containment). A303859