Properties of the Number 83101

Eighty-Three Thousand One Hundred One

Basics

Value: 83100 → 83101 → 83102

Parity: odd

Prime: Yes

Previous Prime: 83093

Next Prime: 83117

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 83101

Divisors: 1, 83101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100010010011101

Octal: 242235

Duodecimal: 40111

Hexadecimal: 1449d

Square: 6905776201

Square Root: 288.2724405835563

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

Number of primes of the form 30k + 11 less than 10ⁿ. A91167

Primes p such that 2p²-1, 3p²-2 and 4p²-3 are also prime. A213079

Prime numbers ending in the prime number 101. A167626

Number of sets of exactly n positive integers <= n+6 having a square element sum. A281969

Third term of weak prime sextet: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2). A54830

A038601 type numbers where Prime of Prime numbers: a(n)=Prime[A038601 (n)]. A144467

One-third of the number of n X n nonnegative integer arrays with every 3 X 3 subblock summing to 5. A145056

The records for distance squared for step lengths between adjacent primes in A330979, the visited primes for a walk stepping to the closest unvisited prime on the Ulam Spiral. A331027

a(n) = 2·a(n-1) + 10·a(n-2), with a(0) = 1, a(1) = 12. A83101