Properties of the Number 73536

Seventy-Three Thousand Five Hundred Thirty-Six

Basics

Value: 73535 → 73536 → 73537

Parity: even

Prime: No

Previous Prime: 73529

Next Prime: 73547

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 383

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001111101000000

Octal: 217500

Duodecimal: 36680

Hexadecimal: 11f40

Square: 5407543296

Square Root: 271.1752201068527

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

Moebius transform of binomial(n+3, 4). A117109

Triangular numbers for which the number of divisors is also a triangular number. A116541

Even triangular numbers with prime indices. A34955

Triangle read by rows in which the n-th row contains the n smallest triangular numbers with the least significant digits of the n-th triangular number. A95225

Hexagonal numbers whose number of divisors is also a hexagonal number. A116565

Expansion of theta₄(theta₄(x) - 1), where theta₄() is the Jacobi θ function. A307186

a(1)=1. For n > 1, a(n) is the n-th positive integer after a(n-1) which cannot be written as a sum of distinct preceding terms in the sequence. A343017

Triangular numbers k such that ψ(k) is a square, where ψ(k) is the Dedekind ψ function (A001615). A292064

Triangular numbers which are 8-almost primes. A76582

Numbers k with the property that it is possible to write the base 2 expansion of k as concat(a₂,b₂), with a₂>0 and b₂>0 such that, converting a₂ and b₂ to base 10 as a and b, we have a' * b' = k, where a' and b' are the arithmetic derivatives of a and b. A259675