Properties of the Number 42405

Forty-Two Thousand Four Hundred Five

Basics

Value: 42404 → 42405 → 42406

Parity: odd

Prime: No

Previous Prime: 42403

Next Prime: 42407

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 11 × 257

Divisors: 1, 3, 5, 11, 15, 33, 55, 165, 257, 771

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010010110100101

Octal: 122645

Duodecimal: 20659

Hexadecimal: a5a5

Square: 1798184025

Square Root: 205.92474353510798

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 alternating compositions of n, including twins (x,x). A344604

Palindromic numbers in bases 2 and 9 written in base 10. A259385

Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(0,5) = cn(2,5) = cn(3,5). A36892

List of codewords in binary lexicode with Hamming distance 8 written as decimal numbers. A75940

a(n) = (1/3ⁿ) * ∑_k=0..n³ ( (binomial(n³, k) * 2^k) (mod 3ⁿ) ). A376536

Array read by rows: T(n,k) for k <= min(n,10) is the number of digital types of length n with exactly k distinct decimal digits without common prime factors of a different digital type. A378154

Rows of negated binary Walsh matrices interpreted as reverse binary numbers. A228540

a(n) = floor(γ(n+1/11) / γ(1/11)). A20059

Nearest integer to γ(n + 1/11)/γ(1/11). A20014

Positive integers n that are palindromic in base 2 and whose binary representation has the same number of 0's as 1's. A143905