Properties of the Number 27301

Twenty-Seven Thousand Three Hundred One

Basics

Value: 27300 → 27301 → 27302

Parity: odd

Prime: No

Previous Prime: 27299

Next Prime: 27329

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 23 × 1187

Divisors: 1, 23, 1187, 27301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101010100101

Octal: 65245

Duodecimal: 13971

Hexadecimal: 6aa5

Square: 745344601

Square Root: 165.23014252853503

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 ways to choose a strict partition of each part of a strict partition of n. A279785

Consider a number x. Take the sum of its digits. Repeat the process deleting the first addendum and adding the previous sum. The sequence lists the numbers that after some iterations reach the arithmetic derivative of x. A269312

Relative of Hofstadter Q-sequence: a(n) = max(0, n+27298) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A283888

Start with a square; at each stage add a square at each expandable vertex so that the ratio of the side of the squares at stage n+1 and at stage n is the golden ratio φ=0.618...; a(n) is the number of squares in a portion of the n-th stage (see below). A269963

Square array A(n,k), n >= 1, k >= 1, read by antidiagonals, where A(n,k) is the sum of distinct products ∏_j=1..k b_j with 1 <= b_j<= n. A321163

Those n for which A140259(n) = A002264(n+11). A140260

Row 7 of the array in A107735. A107731

Expansion of -(x*(1-sqrt((2*(1-sqrt(4·x²+1)))/x+1)))/(1-sqrt(4·x²+1)) - 1. A243814

Semiprimes whose binary and ternary representations are prime when read in decimal. A279052

Centered pentagonal numbers which are semiprimes. A382132