Properties of the Number 8101

Eight Thousand One Hundred One

Basics

Value: 8100 → 8101 → 8102

Parity: odd

Prime: Yes

Previous Prime: 8093

Next Prime: 8111

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 8101

Divisors: 1, 8101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1111110100101

Octal: 17645

Duodecimal: 4831

Hexadecimal: 1fa5

Square: 65626201

Square Root: 90.00555538409837

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Primes of the form k² + 1. A2496

Coordination sequence for "pcu-i" 3D uniform tiling. A299277

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 3. A146348

Numbers that are the sum of 11 positive 8th powers. A3389

Primes with first digit 8. A45714

Number of separable integer partitions of n without an alternating permutation. A345166

Class 5+ primes (for definition see A005105). A81633

Primes having only {0, 1, 8} as digits. A61247

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that σ(n) - n = ∑_i=1..k-1{σ(∑_j=1..i{d_j*10^j-1}) - ∑_j=1..i{d_j*10^j-1}} (see example below). A240894

Primes of the form 4·k² + 1. A121326