Properties of the Number 67763

Sixty-Seven Thousand Seven Hundred Sixty-Three

Basics

Value: 67762 → 67763 → 67764

Parity: odd

Prime: Yes

Previous Prime: 67759

Next Prime: 67777

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 67763

Divisors: 1, 67763

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000100010110011

Octal: 204263

Duodecimal: 3326B

Hexadecimal: 108b3

Square: 4591824169

Square Root: 260.3132728079765

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 length-n 0..k arrays with no repeated value differing from the previous repeated value by more than one. A269583

T(n, k) = kⁿ*U(n, (1/k + k)/2) + (n + 1)^{k - 1}*U(k - 1, (1/(n + 1) + n + 1)/2), where U(n,x) is the n-th Chebyshev polynomial of the second kind, square array read by antidiagonals (n >= 0, k >= 1). A173590

Number of length-n 0..4 arrays with no repeated value differing from the previous repeated value by more than one. A269579

Number of length-7 0..n arrays with no repeated value differing from the previous repeated value by more than one. A269587

Square array read by antidiagonals of base n numbers written as 122...222 with k 2's (and a suitable interpretation for n=0, 1 or 2). A67763