Properties of the Number 83977

Eighty-Three Thousand Nine Hundred Seventy-Seven

Basics

Value: 83976 → 83977 → 83978

Parity: odd

Prime: No

Previous Prime: 83969

Next Prime: 83983

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 79 × 1063

Divisors: 1, 79, 1063, 83977

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100000001001

Octal: 244011

Duodecimal: 40721

Hexadecimal: 14809

Square: 7052136529

Square Root: 289.78785343764844

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) is the numerator of the density of natural numbers m such that gcd(m,floor(m/n))=1. A250031

Numerator of ∑_k=1..n φ(k)/k. A71708

a(n) = 6·binomial(n,4) + 3·binomial(n,3) + 4·binomial(n,2) - n + 2. A66375

Number of binary strings of length n with no substrings equal to 0000 0110 or 1011. A164440

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 1, -1), (1, 0, -1), (1, 1, -1), (1, 1, 1)}. A149642

Smallest palindromic prime containing exactly n 6's. A83977