Properties of the Number 6673

Six Thousand Six Hundred Seventy-Three

Basics

Value: 6672 → 6673 → 6674

Parity: odd

Prime: Yes

Previous Prime: 6661

Next Prime: 6679

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 6673

Divisors: 1, 6673

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000010001

Octal: 15021

Duodecimal: 3A41

Hexadecimal: 1a11

Square: 44528929

Square Root: 81.68843247363729

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

Primes whose base-3 representation also is the base-2 representation of a prime. A235265

Primes such that the sum of the predecessor and successor primes is divisible by 29. A112859

Primes such that the sum of the predecessor and successor primes is divisible by 23. A112847

The sequence solves the following problem: find all the pairs (i,j) such that i divides 1+j+j² and j divides 1+i+i². In fact, the pairs (a(n),a(n+1)), n>0, are all the solutions. A101368

Number of compositions of n with all adjacent parts (x, y) satisfying x < 2y and y <= 2x. A342338

Primes of the form 23n+3. A100201

Number of integer partitions of n whose maximal anti-runs have distinct minima. A375134

Primes p such that the multiplicative order of 2 modulo p is (p-1)/6. A1136

Primes which can be expressed as a sum of distinct powers of 3. A77717

a(n) = 3·n² + n - 1. A144391