Properties of the Number 6075

Six Thousand Seventy-Five

Basics

Value: 6074 → 6075 → 6076

Parity: odd

Prime: No

Previous Prime: 6073

Next Prime: 6079

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 5 ²

Divisors: 1, 3, 5, 9, 15, 25, 27, 45, 75, 81

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110111011

Octal: 13673

Duodecimal: 3623

Hexadecimal: 17bb

Square: 36905625

Square Root: 77.94228634059948

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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) = 3·n². A33428

Achilles numbers - powerful but imperfect: if n = Product(p_i^e_i) then all e_i > 1 (i.e., powerful), but the highest common factor of the e_i is 1, i.e., not a perfect power. A52486

Numbers of the form 3ⁱ*5^j with i, j >= 0. A3593

Numbers whose prime factors are 3 and 5. A33849

Triangle read by rows: a(n, m) = S1(n, m)*3^n-m, where S1 are the signed Stirling numbers of first kind A008275 (n >= 1, 1 <= m <= n). A51141

Product of divisors of n which are >= n^1/2. A72500

Product of the 5th power of a prime and different distinct prime of the 2nd power (p⁵*q²). A179646

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252679

List giving least odd integer of each prime signature. A147516

Numerators of the sequence whose Dirichlet convolution with itself yields squares, A000290. A318649