Properties of the Number 59917

Fifty-Nine Thousand Nine Hundred Seventeen

Basics

Value: 59916 → 59917 → 59918

Parity: odd

Prime: No

Previous Prime: 59887

Next Prime: 59921

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 11 × 13 × 419

Divisors: 1, 11, 13, 143, 419, 4609, 5447, 59917

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110101000001101

Octal: 165015

Duodecimal: 2A811

Hexadecimal: ea0d

Square: 3590046889

Square Root: 244.77949260507916

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 subsets of {1..n} of which every subset has a different sum. A325864

Number A(n,k) of Dyck paths of semilength k·n and height n; square array A(n,k), n>=0, k>=0, read by antidiagonals. A289481

a(n) = max{T(n,k), k=1..n}, where T(n,k) is the number of Dyck paths of length 2n and height k (1<=k<=n). A259885

Number of Dyck paths of semilength n and height exactly 4. A262600

Number of 'tree-like curves' with n intersection points. A118814

Number of Dyck paths of semilength 3·n and height n. A289473

G.f. satisfies: A(x) = 1 + x·A(x)² + x²/A(x)³. A201970

Least inverse of A073454: Smallest m such that m divided by the primes up to m have exactly n repeated residues. A274320

a(n) = (3^2ⁿ + 1)/2 = A059919(n)/2, n >= 0. A59917

Number of repeated remainders arising when n is divided by all primes up to n: a(n) = π(n) - A073453(n). A73454