Properties of the Number 42293

Forty-Two Thousand Two Hundred Ninety-Three

Basics

Value: 42292 → 42293 → 42294

Parity: odd

Prime: Yes

Previous Prime: 42283

Next Prime: 42299

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 42293

Divisors: 1, 42293

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010100110101

Octal: 122465

Duodecimal: 20585

Hexadecimal: a535

Square: 1788697849

Square Root: 205.65261972559455

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

a(0) = 1; a(n+1) = a(n) + ∑_i=0..n binomial(n,i)*(a(i)+1). A60719

Triangle read by rows: T(n,k) = number of collections of up to k+1 disjoint subsets of [n] covering [n], with [0]={}, 0<=k<=n. A381682

Base numbers of decagonal (10-gonal) palindromic numbers. A307829

Triangle read by rows: T(n,k) = 2·A011971(n,k) - 1. A136791

Numbers k such that the continued fraction for sqrt(k) has period 99. A20438

Least prime p == -1 (mod n) that divides Fibonacci((p+1)/n), or 0 if no such prime exists. A168172

Primes p such that 2·p⁵-+3 are also prime. A174368

Number of n X 3 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. A253218

For n >= 1, a(n) is the least prime p such that the arithmetic mean of (n + 1) consecutive primes starting with p is a perfect square, or a(n) = -1 if no such p exists. A365706

7ⁿ mod 5ⁿ. A138648