Properties of the Number 17227

Seventeen Thousand Two Hundred Twenty-Seven

Basics

Value: 17226 → 17227 → 17228

Parity: odd

Prime: No

Previous Prime: 17209

Next Prime: 17231

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 23 × 107

Divisors: 1, 7, 23, 107, 161, 749, 2461, 17227

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001101001011

Octal: 41513

Duodecimal: 9B77

Hexadecimal: 434b

Square: 296769529

Square Root: 131.25166665608478

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 regions after n generations of Jim Conant's iterative dissection of a square. A328078

Number of integer partitions of n with more adjacent equal parts than distinct parts. A360254

Number of regions after 2n generations of Jim Conant's iterative dissection of a square. A328080

Number of integer partitions of n with all equal lengths of maximal runs of consecutive parts decreasing by 1 but not by 0. A384904

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} gcd(x₁, x₂, x₃, n)⁴. A372929

a(n) = A007318 * [1, 6, 14, 9, 0, 0, 0, ...]. A143690

a(n) = ∑_d∣n φ(n/d)^d-1. A164941

G.f. A(x) satisfies: 1 = ∑_n>=0 xⁿ * ((1+x)^4·n - A(x))ⁿ⁺¹, where A(0) = 0. A307954

Partial sums of A087100. A87098

a(n) = Fibonacci(n) - n². A14283