Properties of the Number 27738

Twenty-Seven Thousand Seven Hundred Thirty-Eight

Basics

Value: 27737 → 27738 → 27739

Parity: even

Prime: No

Previous Prime: 27737

Next Prime: 27739

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 23 × 67

Divisors: 1, 2, 3, 6, 9, 18, 23, 46, 67, 69

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110110001011010

Octal: 66132

Duodecimal: 14076

Hexadecimal: 6c5a

Square: 769396644

Square Root: 166.54729058138412

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251137

Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w³>x³+y³. A211811

Result of using the Fibonacci numbers as coefficients in an infinite polynomial series in·and then expressing this series as (1+a(1)x)(1+a(2)x²)(1+a(3)x³)... A147558

Averages q of twin prime pairs, such that q concatenated to q is also the average of a twin prime pair. A235109

Number of (n+1) X (4+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251133

Number of (n+1) X (6+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251135

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252377

Midpoints k of a pair of twin primes such that σ(k) is also the midpoint of a pair of twin primes. A349981

Number of twin self-primes <= 10ⁿ. A382457

Number of nX5 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,4,3,0,1 for x=0,1,2,3,4. A196783