Properties of the Number 81413

Eighty-One Thousand Four Hundred Thirteen

Basics

Value: 81412 → 81413 → 81414

Parity: odd

Prime: No

Previous Prime: 81409

Next Prime: 81421

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 17 × 4789

Divisors: 1, 17, 4789, 81413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111000000101

Octal: 237005

Duodecimal: 3B145

Hexadecimal: 13e05

Square: 6628076569

Square Root: 285.3296339324046

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) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = A023531, t = (Lucas numbers). A24319

G.f.: A(x) = ∑_n>=0 xⁿ*(A(n·x) + A(-n·x))/2. A196196

Fibonacci sequence beginning 4, 17. A22134

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023531, t = (Lucas numbers). A24882

Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 13. A51978

a(n) is the smallest prime p such that the largest prime divisor of the difference nextprime(p) - p equals the n-th prime, prime(n). A81413