Properties of the Number 53985

Fifty-Three Thousand Nine Hundred Eighty-Five

Basics

Value: 53984 → 53985 → 53986

Parity: odd

Prime: No

Previous Prime: 53959

Next Prime: 53987

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 59 × 61

Divisors: 1, 3, 5, 15, 59, 61, 177, 183, 295, 305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001011100001

Octal: 151341

Duodecimal: 272A9

Hexadecimal: d2e1

Square: 2914380225

Square Root: 232.34672366960547

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 terms on the two principal diagonals of a 2n+1 X 2n+1 square spiral. A114254

Multiplicative closure of twin prime pair products (A037074). A74480

Squarefree numbers which yield zero when their prime factors are xored together. A235488

Squarefree products of k primes that are symmetrically distributed around their average. Case k = 4. A294751

Numerators b(n) of Pythagorean approximations b(n)/a(n) to 7/4. A195569

a(n) = n*(16·n² - 1). A69975

G.f. A(x) satisfies: 6ⁿ - 1 = ∑_k=0..n [x^k]A(x)ⁿ and also satisfies: (6+z)ⁿ - (1+z)ⁿ + zⁿ = ∑_k=0..n [x^k](A(x)+z·x)ⁿ for all z, where [x^k]A(x)ⁿ denotes the coefficient of x^k in A(x)ⁿ. A100234

Squarefree numbers k such that A076341(k) = 0. A76352

Replace 2^k with (-2)^k in binary expansion of n. A53985