Properties of the Number 27007

Twenty-Seven Thousand Seven

Basics

Value: 27006 → 27007 → 27008

Parity: odd

Prime: No

Previous Prime: 26993

Next Prime: 27011

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 113 × 239

Divisors: 1, 113, 239, 27007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100101111111

Octal: 64577

Duodecimal: 13767

Hexadecimal: 697f

Square: 729378049

Square Root: 164.3380661928331

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

Bessel polynomial y_n(x) evaluated at x=1. A1515

Number of ordered quadruples (a,b,c,d) with gcd(a,b,c,d)=1 (1 <= {a,b,c,d} <= n). A82540

a(0) = a(1) = 1; thereafter a(n) = (2·n-3)*a(n-1) + a(n-2). A144301

Square array read by antidiagonals upwards: T(n,k) is the number of scenarios for the gift exchange problem in which each gift can be stolen at most once, when there are n gifts in the pool and k gifts (not yet frozen) in peoples' hands. A144502

Triangle read by rows: coefficients of polynomials arising from the recurrence A[n](x) = A[n-1]'(x)/(1-x) with A[0] = exp(x). A144505

Array T(n,k) (n >= 1, k >= 0) read by downwards antidiagonals: T(n,k) = total number of partitions of [1, 2, ..., i] into exactly k nonempty blocks, each of size at most n, for any i in the range n <= i <= k·n. A144510

Array read by upwards antidiagonals: T(n,k) = total number of partitions of [1, 2, ..., k] into exactly n blocks, each of size 1, 2, ..., k+1, for 0 <= k <= (k+1)*n. A144512

a(n) = n³ + 7. A84377

Numerators of numbers with g.f. exp(1-(1-x)^1/2). A143991

Matrix inverse of A100862. A107102