Properties of the Number 73984

Seventy-Three Thousand Nine Hundred Eighty-Four

Basics

Value: 73983 → 73984 → 73985

Parity: even

Prime: No

Previous Prime: 73973

Next Prime: 73999

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁸ × 17 ²

Divisors: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000100000000

Octal: 220400

Duodecimal: 36994

Hexadecimal: 12100

Square: 5473632256

Square Root: 272

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

Number of ways to place a non-attacking white and black rook on n X n chessboard. A35287

Quarter-squares squared: A002620². A30179

a(n) = (11·n + 8)². A17486

Squares with initial digit '7'. A45791

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum zero and no antidiagonal sum three. A256735

Corresponds to m = 6 in a family of 4th order linear recurrence sequences given by a(m,n) = m⁴*a(n-4) + (2·m)²*a(n-3) - 4·a(m-1), a(m,0) = -1, a(m,1) = 4, a(m,2) = -13 + 6*(m-1) + 3*(m-1)², a(m,3) = (-8+m²)². A113252

a(n) = ∑_k=0..n binomial(n, floor(k/2))*(-2)^n-k. A127361

Squares which can be expressed as the product of a number and its reversal. A325148

Numbers whose prime factors and prime signature have the same mean. A359904

Squares of palindromes. A14186