Properties of the Number 65541

Sixty-Five Thousand Five Hundred Forty-One

Basics

Value: 65540 → 65541 → 65542

Parity: odd

Prime: No

Previous Prime: 65539

Next Prime: 65543

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 3121

Divisors: 1, 3, 7, 21, 3121, 9363, 21847, 65541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000000000101

Octal: 200005

Duodecimal: 31B19

Hexadecimal: 10005

Square: 4295622681

Square Root: 256.0097654387426

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 that are the sum of 6 nonzero 8th powers. A3384

a(n) = 2ⁿ + 5. A168614

The positions i where A163355(i) = i, that is, the fixed points of permutation A163355. A163901

Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a power of 2. A353889

a(n) = 2^2ⁿ + 5. A63486

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 774", based on the 5-celled von Neumann neighborhood. A283912

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 806", based on the 5-celled von Neumann neighborhood. A284143

a(1) = 11; a(n) = if n == 2 mod 3 then a(n-1)-3, if n == 0 mod 3 then a(n-1)-2, if n == 1 mod 3 then a(n-1)*2. A85688

a(1)=1. a(n) = the smallest integer > a(n-1) such that |d(a(n)) - d(a(n-1))| = n-1, where d(m) = the number of positive divisors of m. A139695

As a binary numeral, the bit 2^m-1 of a(n) is 1 iff m is a proper divisor of n. A247146