Properties of the Number 40763

Forty Thousand Seven Hundred Sixty-Three

Basics

Value: 40762 → 40763 → 40764

Parity: odd

Prime: Yes

Previous Prime: 40759

Next Prime: 40771

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 40763

Divisors: 1, 40763

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111100111011

Octal: 117473

Duodecimal: 1B70B

Hexadecimal: 9f3b

Square: 1661622169

Square Root: 201.89848934551244

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

Primes p such that p+8, p+86, p+864 are prime. A236302

a(n) = ∑_i=0..n digsum(i)⁴, where digsum(i) = A007953(i). A231689

The $620 prime list. A18188

Prime p such that p⁵ + p³ + p - 4 and p⁵ + p³ + p + 4 are primes. A243900

Smallest prime q such that (q^p-1)/(q-1) is prime, where p = prime(n); or 0 if no such prime q exists. A123487

Continued fraction for sqrt(792). A40763

Smallest prime p such that Phi_n(p) is also prime, where φ is the cyclotomic polynomial, or 0 if no such p exists. A252503

a(n) = smallest k >= 0 for which there is a sequence n = b₁ < b₂ < ... < b_t = n + k such that b₁ + b₂ +...+ b_t is a perfect square. A277516