Properties of the Number 88767

Eighty-Eight Thousand Seven Hundred Sixty-Seven

Basics

Value: 88766 → 88767 → 88768

Parity: odd

Prime: No

Previous Prime: 88747

Next Prime: 88771

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 1409

Divisors: 1, 3, 7, 9, 21, 63, 1409, 4227, 9863, 12681

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101101010111111

Octal: 255277

Duodecimal: 43453

Hexadecimal: 15abf

Square: 7879580289

Square Root: 297.93791299530847

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 partitions of n such that 2*(least part) < greatest part. A237820

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 2,1,1,0,0 for x=0,1,2,3,4. A197450

Number of lower triangles of a 4 X 4 0..n array with no element differing from any of its horizontal or vertical neighbors by more than one. A194933

Number of nX3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,1,1,0,0 for x=0,1,2,3,4. A197445

Number of nX7 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,1,1,0,0 for x=0,1,2,3,4. A197449

a(n) = ∑_k=0..n 4^n-k * floor(k/3). A368345

a(n) = A087697(n)/2. A88767