Properties of the Number 27541

Twenty-Seven Thousand Five Hundred Forty-One

Basics

Value: 27540 → 27541 → 27542

Parity: odd

Prime: Yes

Previous Prime: 27539

Next Prime: 27551

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 27541

Divisors: 1, 27541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101110010101

Octal: 65625

Duodecimal: 13B31

Hexadecimal: 6b95

Square: 758506681

Square Root: 165.9548131269473

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 ordered triples (a, b, c) with gcd(a, b, c) = 1 and 1 <= {a, b, c} <= n. A71778

(1/8)*number of equilateral triangles that can be formed from the points of an (n+1)X(n+1)X(n+1) lattice cube. A103501

Centered triangular numbers that are prime. A125602

Number of ordered triples (x, y, z) with gcd(x, y, z) = 1 and 1 <= {x, y, z} <= 2ⁿ. A342935

Number of partitions p of n such that the number of numbers having multiplicity 1 in p is a part and the number of numbers having multiplicity > 1 is a part. A241414

G.f.: A(x) = x/Series_Reversion(x·G(x)) where G(x) = ∑_n>=0 nⁿ*xⁿ. A182957

Primes p such that p-2 and q are primes, where q is concatenation of binary representations of p and p-2: q = p·2^L + p-2, where L is the length of binary representation of p-2: L=A070939(p-2). A232237

Lexicographically earliest sequence of numbers whose partial products are all Fermat pseudoprimes to base 2 (A001567). A374027

Primes with 19 as smallest positive primitive root. A61331

Number of nX3 0..4 arrays with each element equal to the number its horizontal and vertical neighbors equal to 2. A197056