Properties of the Number 26714

Twenty-Six Thousand Seven Hundred Fourteen

Basics

Value: 26713 → 26714 → 26715

Parity: even

Prime: No

Previous Prime: 26713

Next Prime: 26717

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 19 ² × 37

Divisors: 1, 2, 19, 37, 38, 74, 361, 703, 722, 1406

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100001011010

Octal: 64132

Duodecimal: 13562

Hexadecimal: 685a

Square: 713637796

Square Root: 163.44418007380992

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)²/2. A6002

Left edge of the triangle A045975. A204556

From Wendt's determinant compute sqrt(abs(A048954(n))/(2ⁿ - 1)). A215615

a(n) is the least number k that A074389(k) = n. A74390

a(n) = 19·n*(n+1). A173309

Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-2. A180292

Number of length n arrays of permutations of 0..n-1 with each element moved by -8 to 8 places and the average of every three consecutive elements is never greater than the median of the previous three elements. A263734

a(n) = the smallest number m such that gcd(σ(m), pod(m)) = n where σ(k) = the sum of the divisors of k (A000203) and pod(k) = the product of the divisors of k (A007955). A324527

Triangular array T read by rows: T(n,0)=T(n,n)=1 for n >= 0; for n >= 2 and 1<=k<=n-1, T(n,k)=T(n-1,k-1)+T(n-2,k-1)+T(n-1,k) if k=[ (n-1)/2 ] or k=[ n/2 ] or k=[ (n+2)/2 ], else T(n,k)=T(n-1,k-1)+T(n-1,k). A26714

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