Properties of the Number 65558

Sixty-Five Thousand Five Hundred Fifty-Eight

Basics

Value: 65557 → 65558 → 65559

Parity: even

Prime: No

Previous Prime: 65557

Next Prime: 65563

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 32779

Divisors: 1, 2, 32779, 65558

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000000010110

Octal: 200026

Duodecimal: 31B32

Hexadecimal: 10016

Square: 4297851364

Square Root: 256.04296514452415

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

a(n) is the smallest composite k such that ∑_{composites j = 4, ..., k} 1/j exceeds n. A76751

a(n) = ∑_k=1..n φ(gcd(k, n))^gcd(k, n). A342543

a(n) = n³ - 2·n² - 1. A214731

Replace 2^k in binary expansion of n with 2^{2^k}. A358126

Numbers n such that 281·2ⁿ-1 is prime. A50899

Positive integers not the sum of iterated binary logs. A255310

a(n) is the smallest composite k such that ∑_{composites j = 4, ..., k} 1/j exceeds n/2. A331930

If n = Sum 2^e(k), then a(n) = Sum 2^a(e(k)), with a(0) = 1. A381957

Let G_n be the group of invertible 2 X 2 matrices mod n (sequence A000252). a(n) is the maximal degree of an irreducible representation of G_n. A65558

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,0,3,1,4 for x=0,1,2,3,4. A196283