Properties of the Number 27217

Twenty-Seven Thousand Two Hundred Seventeen

Basics

Value: 27216 → 27217 → 27218

Parity: odd

Prime: No

Previous Prime: 27211

Next Prime: 27239

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 17 × 1601

Divisors: 1, 17, 1601, 27217

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101001010001

Octal: 65121

Duodecimal: 13901

Hexadecimal: 6a51

Square: 740765089

Square Root: 164.97575579460153

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 n such that 2·10ⁿ + 3 is prime. A81677

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) > number of parts of p. A241832

Triangular array read by rows: T(n,1) = T(n,n) = 1, T(n,k) = 3·T(n-1,k-1) + 2·T(n-1,k). A119725

a(n) = n! * ∑_{k=0..floor(n/5)} (n/5)^k / (k! * (n-5·k)!). A362319

a(n) = n*(6·n² - 8·n + 3). A272378

Generalized Markoff numbers: largest of 7-tuple of positive numbers a, b, c, d, e, f, g satisfying the Markoff(7) equation a²+b²+c²+d²+e²+f²+g² = 3abcdefg. A227211

Numbers k such that σ(k) = φ(k) + τ(k)⁴ + π(k). A390773

Number of 2 X 2 0..n arrays with rows and columns in lexicographically nondecreasing order. A229795

Even pentagonal pyramidal numbers. A15224

a(n) = ∑_k=0..n-2 T(n,k)*T(n,k+2), T given by A026736. A27217