Properties of the Number 42401

Forty-Two Thousand Four Hundred One

Basics

Value: 42400 → 42401 → 42402

Parity: odd

Prime: No

Previous Prime: 42397

Next Prime: 42403

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 109 × 389

Divisors: 1, 109, 389, 42401

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010010110100001

Octal: 122641

Duodecimal: 20655

Hexadecimal: a5a1

Square: 1797844801

Square Root: 205.91503102007877

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

Semiprimes p such that next semiprime after p is p+20. A217335

Number of partitions of n into parts not of the form 17k, 17k+8 or 17k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 7 are greater than 1. A35969

a(n) = floor(1/(n-1) * ∑_k=1..n-1 a(k)^n/k), given a(0)=1, a(1)=2, a(2)=6. A79118

n written in fractional base 6/4. A24637

Form a conjugate partition of row with 1+1+1 in first row. all other rows are the union of their parents. a(n) = number of types of piles in the n-th row. A64480

Brilliant numbers k such that 2k+1 is also brilliant. A85649

Numbers k such that the decimal expansion of k! begins with k. A33147

a(1) = 1, a(2) = 2. For n >= 3, a(n) is found by concatenating the fourth powers of the first n-1 terms of the sequence and then dividing the resulting number by a(n-1). A181866

Denominators of continued fraction convergents to sqrt(727). A42401

Numbers m > 1 such that the fractional part of log₁₀(m!) is less than at any smaller m > 1. A249829