Properties of the Number 67431

Sixty-Seven Thousand Four Hundred Thirty-One

Basics

Value: 67430 → 67431 → 67432

Parity: odd

Prime: No

Previous Prime: 67429

Next Prime: 67433

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 13 ² × 19

Divisors: 1, 3, 7, 13, 19, 21, 39, 57, 91, 133

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000011101100111

Octal: 203547

Duodecimal: 33033

Hexadecimal: 10767

Square: 4546939761

Square Root: 259.6747966206963

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 6 parts. A308867

Odd n such that 2*φ(n) < n, but there does not exist an even k < n with φ(k) = φ(n). A118700

Triangle T, read by rows, that satisfies matrix equation: T - (T-I)² = C, where C is Pascal's triangle. A117269

a(n) = ∏_{d∣n, d>1} prime(1+(d mod 8)). A320108

Numbers n such that φ(n) + d(n) = φ(n+1) + d(n+1), where φ(n) is the Euler totient function of n and d(n) the number of divisors of n. A259496

Numbers n such that 9·10ⁿ + 8·R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A103109

Multiples of 1729, the Hardy-Ramanujan number. A138129

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,4,6,4,1. A221994

Numbers n such that |φ(n+1)-φ(n)| = |d(n+1)-d(n)|, where φ is Euler's totient function and d(n) = number of divisors of n. A66219

a(n) = (n+1)*(n+2)²*(n+3)*(n+4)*(3·n+5)/240. A114243