Properties of the Number 35667

Thirty-Five Thousand Six Hundred Sixty-Seven

Basics

Value: 35666 → 35667 → 35668

Parity: odd

Prime: No

Previous Prime: 35617

Next Prime: 35671

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 1321

Divisors: 1, 3, 9, 27, 1321, 3963, 11889, 35667

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101101010011

Octal: 105523

Duodecimal: 18783

Hexadecimal: 8b53

Square: 1272134889

Square Root: 188.8570888264457

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 every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302889

Expansion of 1/((1-x)*(1-x²)²*(1-x³)²*(1-x⁴)²*(1-x⁵)*(1-x⁶)). A45513

a(n) = 49·n² - 2·n. A157362

Odd numbers k such that A173557(k) = A173557(σ(k)), where A173557(n) is multiplicative with a(p^e) = p-1 and σ is the sum of divisors function. A387159

a(n) is the smallest value of m such that prod(m) = n·length(m)*sum(m) where prod(m) is the product of the digits of m, length(m) is the number of digits of m, sum(m) is the sum of the digits of m; or 0 if no such m exists. A64022

Odd numbers n divisible by 3 such that for all k >= 1 the numbers n·2^k - 1 and n·2^k+1 - 1 do not form a pair of primes. A243858

Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302884

Square array read by antidiagonals: T(m,n) = the number of tight m X n pavings (defined below). A285357

Number of partitions of n into parts 7k+3 and 7k+5 with at least one part of each type. A35667