Properties of the Number 27907

Twenty-Seven Thousand Nine Hundred Seven

Basics

Value: 27906 → 27907 → 27908

Parity: odd

Prime: No

Previous Prime: 27901

Next Prime: 27917

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 43 × 59

Divisors: 1, 11, 43, 59, 473, 649, 2537, 27907

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110110100000011

Octal: 66403

Duodecimal: 14197

Hexadecimal: 6d03

Square: 778800649

Square Root: 167.05388352265265

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 compositions of n when parts 1 and 2 are of two kinds. A52536

a(n) = 3·a(n-1) - a(n-3) for n>2, with a(0)=1, a(1)=-1, a(2)=0. A122100

a(n) = -3·a(n-1) + a(n-3) for n>2, with a(0)=1, a(1)=1, a(2)=0. A122099

Irregular table read by rows: T(n,k) is the number of k-gons, k>=3, formed inside a right triangle by the straight line segments mutually connecting all vertices and points on the two shorter edges whose positions on one edge equal the Farey series of order n while on the other they divide its length into n equal segments. A359977

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃, p₄} = {-1,0,1,2}, n=3·r+p_i, and define a(-1)=0. Then a(n)=a(3·r+p_i) gives the quantity of H_9,2,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(x³-2·x) with x=2·cos(π/9). A187504

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃, p₄} = {-1,0,1,2}, n=3·r+p_i, and define a(-1)=0. Then a(n)=a(3·r+p_i) gives the quantity of H_9,3,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(x³-2·x) with x=2·cos(π/9). A187505

Numbers whose squares have 2R-1 digits, such that the number represented by leftmost R digits and number represented by rightmost R digits divide each other evenly. A216233

a(0) = 0, and for n > 0, a(n) = A002956(n) - A000041(n). A181887

Triangle of trinomial coefficients T(n,k) (n >= 0, 0 <= k <= 2·n), read by rows: n-th row is obtained by expanding (1 + x + x²)ⁿ. A27907

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally and vertically. A254839