Properties of the Number 27601

Twenty-Seven Thousand Six Hundred One

Basics

Value: 27600 → 27601 → 27602

Parity: odd

Prime: No

Previous Prime: 27583

Next Prime: 27611

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 3943

Divisors: 1, 7, 3943, 27601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101111010001

Octal: 65721

Duodecimal: 13B81

Hexadecimal: 6bd1

Square: 761815201

Square Root: 166.13548687742784

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

Shifts one place left under 10th-order binomial transform. A75509

Euler transform of A055457. A373296

Determinant of M(n), the n X n matrix defined by m(i,i) = 1, m(i,j) = i-j. A79034

G.f.: ∏_k>=1 (1-prime(k)*x^prime(k)). A298159

Number of unlabeled rooted trees with n nodes and maximal outdegree (branching factor) 5. A244401

Number of 0..n arrays of length 4 with 0 never adjacent to n. A212837

Minimum value unattainable as the sum of 3 attained values of a·b*c with a,b,c 0..n integers. A225265

Number of partitions of 4ⁿ into n-th powers. A27601