6,720,189

3 × 7 × 320009

6,720,189 factors as 3 × 7 × 320009. Its 8 positive divisors give a proper-divisor sum of 3,520,131, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3 × 7 × 320009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,240,320

Proper Divisor Sum 3,520,131

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6720179 ← → #6720191

Radix Representation

Decimal	6720189
Binary	11001101000101010111101 (23 bits)
Octal	0o31505275
Hexadecimal	0x668ABD

Divisor Catalog (8)

1 3 7 21 320,009 960,027 2,240,063 6,720,189

Collatz Trajectory (178 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,720,189 20,160,568 10,080,284 5,040,142 2,520,071 7,560,214 3,780,107 11,340,322 5,670,161 17,010,484 8,505,242 4,252,621 12,757,864 6,378,932 3,189,466 1,594,733 4,784,200 2,392,100 1,196,050 598,025 1,794,076 897,038 448,519 1,345,558 672,779 2,018,338 1,009,169 3,027,508 1,513,754 756,877 2,270,632 1,135,316 567,658 283,829 851,488 425,744 212,872 106,436 53,218 26,609 79,828 39,914 19,957 59,872 29,936 14,968 7,484 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108

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