Properties of the Number 42355

Forty-Two Thousand Three Hundred Fifty-Five

Basics

Value: 42354 → 42355 → 42356

Parity: odd

Prime: No

Previous Prime: 42349

Next Prime: 42359

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 43 × 197

Divisors: 1, 5, 43, 197, 215, 985, 8471, 42355

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010101110011

Octal: 122563

Duodecimal: 20617

Hexadecimal: a573

Square: 1793946025

Square Root: 205.80330415229002

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

Sum of all the parts in the partitions of n into 9 squarefree parts. A326523

Numbers n for which there are exactly six k such that n = k + (product of nonzero digits of k). A96927

Number of partitions of n into parts not of the form 13k, 13k+5 or 13k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 5 are greater than 1. A35953

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 27 ones. A31795

G.f.: A(x) = ∑_n>=0 xⁿ/(1-x)^A038722(n), where A038722(n) = floor(sqrt(2·n)+1/2)² - n + 1. A192317

Triangle read by rows: T(n, k) = C(n, k)*∑_j=0..n C(n, k-j)*C(n+j, j)/C(2·j, j). A339000

Expansion of ∏_k>=1 1/(1 - x^k)^k*(k²+1/2). A302448

Denominators of continued fraction convergents to sqrt(704). A42355