Properties of the Number 42101

Forty-Two Thousand One Hundred One

Basics

Value: 42100 → 42101 → 42102

Parity: odd

Prime: Yes

Previous Prime: 42089

Next Prime: 42131

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 42101

Divisors: 1, 42101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010001110101

Octal: 122165

Duodecimal: 20445

Hexadecimal: a475

Square: 1772494201

Square Root: 205.1852821232556

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 integer compositions of n whose leaders of weakly increasing runs are themselves weakly increasing. A374635

G.f. satisfies: A(x) = (1 + x*(1-x)*A(x)²) * (1 + x²*A(x)). A216617

Primes that remain prime through 3 iterations of function f(x) = 3x + 8. A23279

Primes where the first digit equals the sum of all the other digits. A156307

Prime numbers ending in the prime number 101. A167626

Primes of the form 100p + 1, where p is prime. A180469

Primes p=prime(i) of level (1,4), i.e., such that A118534(i) = prime(i-4). A216177

Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 11101-10111 pattern in any orientation. A147492

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), (-1, -1, 0), (0, 1, 0), (0, 1, 1), (1, 0, 1)}. A151045

Numbers k such that the string k101 is prime. A105106