Properties of the Number 78193

Seventy-Eight Thousand One Hundred Ninety-Three

Basics

Value: 78192 → 78193 → 78194

Parity: odd

Prime: Yes

Previous Prime: 78191

Next Prime: 78203

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 78193

Divisors: 1, 78193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011000101110001

Octal: 230561

Duodecimal: 39301

Hexadecimal: 13171

Square: 6114145249

Square Root: 279.6301128276424

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

Indices of zeros of the sequence u(n)=abs(u(n-1)-gcd(u(n-1),n-1)), u(1)=1. A186253

Number of strings of numbers x(i=1..n) in 0..4 with sum i·x(i) equal to n·4. A184698

Numerator of the n-th term of the inverse Binomial Transform of the Bernoulli sequence prefixed with 0. A174263

In the following triangle the n-th row contains n n-digit (or (n-1)-digit) numbers whose concatenation (with a 0 prefixed for (n-1)-digit numbers) gives a substring of the cyclic concatenation of 1,2,3,4,5,6,7,8,9,0,1,2,3,4,5,6,7,8,9,0,1,2,...: 1; 12 34; 123 456 789; 1234 5678 9012 3456; 12345 67890 12345 67890 12345; ... Sequence contains the final terms of rows. A78193

Rectangular array A read by upward antidiagonals in which the entry in row n and column k is defined by A(n,k) = prime(2^n-1*(2·k-1)), n,k >= 1. A264731