Properties of the Number 42301

Forty-Two Thousand Three Hundred One

Basics

Value: 42300 → 42301 → 42302

Parity: odd

Prime: No

Previous Prime: 42299

Next Prime: 42307

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 7 × 6043

Divisors: 1, 7, 6043, 42301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010100111101

Octal: 122475

Duodecimal: 20591

Hexadecimal: a53d

Square: 1789374601

Square Root: 205.672069080855

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

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nXk array. A219217

A Pell related sequence. A84150

Triangle read by rows: T(n,k) (1 <= k <= n) defined by T(n,n) = (n-1)^n-1, T(n,k) = T(n,k+1) - (n-1)*T(n-1,k) for k = n-1 .. 1. A241580

Number of nX4 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nX4 array. A219213

Let an integer with k+1 digits as n = d(k)*10^k + d(k-1)*10^k-1 + ... + d(0)*10⁰ and consider the transform T(n) = k·10^d(k) + (k-1)*10^d(k-1) + ... + 0·10^d(0). a(n) gives the fixed points of the transform T(n). A226767

Expansion of e.g.f. 1/(1 + LambertW(-x/(1 + x))). A305304

Number of nX7 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nX7 array. A219216

Integers·such that [f(0), f(f(0)), ..., f(...f(0)...)] is a permutation of [0, 1, ..., k-1], where k is the number of digits in·and f(a) denotes the 0-based index of the first occurrence of the substring a in x. A307620

Denominators of continued fraction convergents to sqrt(677). A42301

Number of n-digit numbers using digits 0 to n-1 each exactly once and containing no 3-digit sequence in increasing or decreasing order. A104854