Properties of the Number 49787

Forty-Nine Thousand Seven Hundred Eighty-Seven

Basics

Value: 49786 → 49787 → 49788

Parity: odd

Prime: Yes

Previous Prime: 49783

Next Prime: 49789

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 49787

Divisors: 1, 49787

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001001111011

Octal: 141173

Duodecimal: 2498B

Hexadecimal: c27b

Square: 2478745369

Square Root: 223.13000694662293

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 with digit sum = 35. A106770

Integer k associated with the conjectured record-breaking length A226670(n) of primitive Collatz-like 3x+k cycles. A226671

List of prime factors of 10^{10^(10¹⁰⁰}) - 10. A227246

Primes of the form a^a + b^b + c^c + d^d + e^e. A136292

Integer k associated with the conjectured record-breaking number A226673(n) of odd elements in a primitive Collatz-like 3x+k cycle. A226674

The Wiener index of the tree g[n] (n>=0) defined recursively in the following manner: denoting by P[n] the path on n vertices, we define g[0] =P[2] while g[n] (n>=1) is the tree obtained by identifying the roots of 2 copies of g[n-1] and one of the end-vertices of P[n+1]; the root of g[n] is defined to be the other end-vertex of P[n+1]. A227713

Primes p such that p+2, p+24 and p+246 are also primes. A235871

a(n) is defined by ∏_i>=1 (1-a(i)*xⁱ) = ∑_i>=0 möbius(i+1)*xⁱ. A266949

Lesser twin primes p such that 4·p is the sum of two consecutive primes. A350736

Primes of the form nⁿ+(n+1)ⁿ⁺¹+6. A162929