Properties of the Number 77713

Seventy-Seven Thousand Seven Hundred Thirteen

Basics

Value: 77712 → 77713 → 77714

Parity: odd

Prime: Yes

Previous Prime: 77711

Next Prime: 77719

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 77713

Divisors: 1, 77713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111110010001

Octal: 227621

Duodecimal: 38B81

Hexadecimal: 12f91

Square: 6039310369

Square Root: 278.7705149401565

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 containing 777 as a substring. A167282

Numbers D such that D² = A³ + B⁴ + C⁵ has more than one solution in positive integers (A, B, C). A256603

Transmutable primes: Primes with distinct digits d_i, i=1,m (2<=m<=4) such that simultaneously exchanging all occurrences of any one pair (d_i,d_j), i<>j results in a prime. A108388

Primes which are the fourth element of a generalized Wieferich sequence. A179400

Least of three consecutive primes p, q, r such that p + q, p + r, q + r and p + q + r all have the same number of prime divisors, counted with multiplicity. A368785

Powers of fourth root of 3 rounded to nearest integer. A18052

Powers of fourth root of 3 rounded up. A18053

k-th upper twin prime, where k is the n-th Fibonacci number. A93307

Smallest prime of the form: all sevens followed by prime(n); a(n) > prime(n); or 0 if no such prime exists. A113889

a(1) = 3; thereafter a(n) = the smallest prime of the form d0...0a(n-1), where d is a single digit, or 0 if no such prime exists. A77713