Properties of the Number 77197

Seventy-Seven Thousand One Hundred Ninety-Seven

Basics

Value: 77196 → 77197 → 77198

Parity: odd

Prime: No

Previous Prime: 77191

Next Prime: 77201

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 17 × 19 × 239

Divisors: 1, 17, 19, 239, 323, 4063, 4541, 77197

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110110001101

Octal: 226615

Duodecimal: 38811

Hexadecimal: 12d8d

Square: 5959376809

Square Root: 277.8434811184167

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

Centered icosahedral (or cuboctahedral) numbers, also crystal ball sequence for f.c.c. lattice. A5902

a(0)=a(1)=1, a(2)=2; thereafter a(n) = 3·a(n-1) + 3·2^n-3 - 2. A169651

a(n) = λ(φ(n)) where λ(n) (A002322) is the Carmichael λ function which gives the smallest integer m such that k^m = 1 mod n for all integers k relatively prime to n and φ(n) is A000010. A77197

Number of n X 6 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A253221