Properties of the Number 67239

Sixty-Seven Thousand Two Hundred Thirty-Nine

Basics

Value: 67238 → 67239 → 67240

Parity: odd

Prime: No

Previous Prime: 67231

Next Prime: 67247

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 31 × 241

Divisors: 1, 3, 9, 31, 93, 241, 279, 723, 2169, 7471

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011010100111

Octal: 203247

Duodecimal: 32AB3

Hexadecimal: 106a7

Square: 4521083121

Square Root: 259.3048399085524

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

Largest integer not expressible as a nonnegative linear combination of n and n² + 1. A87908

Total height of trees with n nodes. A1853

Number of partitions of n such that the number of parts having multiplicity 1 is a part and the number of distinct parts is not a part. A241444

a(n) = ∑_d∣n d² * (d+1)/2. A278403

a(n) = ∑_k=1..n ∑_j=1..k (prime(k) - prime(j))². A62022

a(n) = 40·n² - 1. A158598

Number of partitions of n into 9 sorts of parts. A246941

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2) + n, where a(0) = 1, a(1) = 2, b(0) = 3. A294537

Expansion of 1/((1-3x)(1-4x)(1-8x)(1-10x)). A28044

Expansion of g.f. (1+z+z²-sqrt(1+2·z-z²-6·z³-3·z⁴))/(2·z²*(1+z)). A359140