Properties of the Number 42735

Forty-Two Thousand Seven Hundred Thirty-Five

Basics

Value: 42734 → 42735 → 42736

Parity: odd

Prime: No

Previous Prime: 42727

Next Prime: 42737

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 × 11 × 37

Divisors: 1, 3, 5, 7, 11, 15, 21, 33, 35, 37

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011011101111

Octal: 123357

Duodecimal: 20893

Hexadecimal: a6ef

Square: 1826280225

Square Root: 206.7244542863761

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

Odd unitary abundant numbers. A129485

Odd squarefree abundant numbers. A112643

Triangle of Stirling numbers of order 3. A59022

Primitive, odd, squarefree abundant numbers. A249263

Signed recurrence over binary strict trees: a(n) = 1 - ∑_{x + y = n, 0 < x < y < n} a(x) * a(y). A300866

Odd numbers with exactly 5 distinct prime factors. A46391

a(n) = (2·n+1)*(2·n+3)*(2·n+5). A61550

Numbers m such that the largest digit in the decimal expansion of 1/m is 4. A351470

Coefficients in the power series A(x) such that: A(x) = ∑_n=-oo..+oo xⁿ * (1 - xⁿ⁺¹)ⁿ⁺¹ * A(x)ⁿ. A357201

a(n) is the number of ways of putting n labeled balls into 3 indistinguishable boxes such that each box contains at least 3 balls. A272982