Properties of the Number 73872

Seventy-Three Thousand Eight Hundred Seventy-Two

Basics

Value: 73871 → 73872 → 73873

Parity: even

Prime: No

Previous Prime: 73867

Next Prime: 73877

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ⁵ × 19

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000010010000

Octal: 220220

Duodecimal: 36900

Hexadecimal: 12090

Square: 5457072384

Square Root: 271.794039669747

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

Numbers with an even number of prime factors (counted with multiplicity) that can be factored into squarefree semiprimes (A320911) but cannot be factored into distinct semiprimes (A320892). A320893

Integers k such that k + φ(k) + φ(φ(k)) is a fourth power. A116041

Values of n·d(k)*sopf(k) associated with A134382. A134386

Numbers with prime factorization pq^4r^5. A190468

a(n) = ( (6 + sqrt(6))ⁿ - (6 - sqrt(6))ⁿ )/(2·sqrt(6)). A154237

Number of degree-n odd permutations of order dividing 12. A326242

Composite numbers n such that ∑_{d_<n | n} φ(d_<n) / (d_<n) is an integer, where d_<n = divisors of n that are less than n, φ(x) = A000010(x). A211778

Number of nX4 0..1 arrays with every element unequal to 0, 1, 3 or 8 king-move adjacent elements, with upper left element zero. A304217

a(0) = 0; a(n) = ( (n + sqrt(n))ⁿ - (n - sqrt(n))ⁿ )/(2·sqrt(n)). A360766

a(n) is the sum of lattice points enumerated by the square number spiral falling on the circumference of circles centered at the origin of radii n. A309573