Properties of the Number 27417

Twenty-Seven Thousand Four Hundred Seventeen

Basics

Value: 27416 → 27417 → 27418

Parity: odd

Prime: No

Previous Prime: 27409

Next Prime: 27427

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 19 × 37

Divisors: 1, 3, 13, 19, 37, 39, 57, 111, 247, 481

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101100011001

Octal: 65431

Duodecimal: 13A49

Hexadecimal: 6b19

Square: 751691889

Square Root: 165.58079598794058

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

a(n) = n*(n+1)*(n+2)/2. A27480

Places k where A064608(k) (partial sums of unitary τ) is divisible by k. A64610

a(n) = n*(n² - 1)/2. A135503

Denominator of c(n) = (n²+n+2)/((n+1)*(n+2)*(n+3)). A241269

a(n) = n*(2·n-1)*(2·n+1). A35328

a(n) is the least k such that the average number of unitary divisors of {1..k} is >= n. A328331

a(n) = lcm(n, n+1, n+2, n+3)/12. A67047

From higher-order Bernoulli numbers: denominator of the D-number D2n(2n-1). A261272

Number of peakless Motzkin paths with no U H^j U, no D H^j D and no D H^jU (j>0), where U=(1,1), D=(1,-1) and H=(1,0) (can be easily expressed using RNA secondary structure terminology). A98057

Denominator of (n+3) / ((n+2) * (n+1) * n). A168061