Properties of the Number 27635

Twenty-Seven Thousand Six Hundred Thirty-Five

Basics

Value: 27634 → 27635 → 27636

Parity: odd

Prime: No

Previous Prime: 27631

Next Prime: 27647

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 5527

Divisors: 1, 5, 5527, 27635

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110101111110011

Octal: 65763

Duodecimal: 13BAB

Hexadecimal: 6bf3

Square: 763693225

Square Root: 166.23778150588993

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 nXk 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281056

Expansion of ∏_{i>=2, j>=2} 1 / (1 - x^i·j)^j. A326830

Triangle read by rows: numerators of coefficients of the Hirzebruch L-polynomials L_n expressing the signature of a 4n-dimensional manifold in terms of its Pontrjagin numbers (as in Hirzebruch Signature Theorem). A237111

Number of length n arrays of permutations of 0..n-1 with each element moved by -9 to 9 places and the average of every three consecutive elements is never greater than the median of the previous three elements. A263735

Number of nX4 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281052

Number of 7Xn 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281062

Number of length n arrays of permutations of 0..n-1 with each element moved by -n to n places and the average of every three consecutive elements is never greater than the median of the previous three elements. A263731

T(n,k)=Number of length n arrays of permutations of 0..n-1 with each element moved by -k to k places and the average of every three consecutive elements is never greater than the median of the previous three elements. A263736

Expansion of (1-x⁸)*(1+x⁵)/(1-x²)⁵. A27635