6,721,788

2² × 3 × 560149

6,721,788 factors as 2^2 × 3 × 560149. Its 12 positive divisors give a proper-divisor sum of 8,962,412, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 560149

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,684,200

Proper Divisor Sum 8,962,412

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6721787 ← → #6721789

Radix Representation

Decimal	6721788
Binary	11001101001000011111100 (23 bits)
Octal	0o31510374
Hexadecimal	0x6690FC

Divisor Catalog (12)

1 2 3 4 6 12 560,149 1,120,298 1,680,447 2,240,596 3,360,894 6,721,788

Collatz Trajectory (209 steps to reach 1)

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

6,721,788 3,360,894 1,680,447 5,041,342 2,520,671 7,562,014 3,781,007 11,343,022 5,671,511 17,014,534 8,507,267 25,521,802 12,760,901 38,282,704 19,141,352 9,570,676 4,785,338 2,392,669 7,178,008 3,589,004 1,794,502 897,251 2,691,754 1,345,877 4,037,632 2,018,816 1,009,408 504,704 252,352 126,176 63,088 31,544 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878

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