3,972,006

2 × 3² × 220667

3,972,006 factors as 2 × 3^2 × 220667. Its 12 positive divisors give a proper-divisor sum of 4,634,046, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 220667

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,606,052

Proper Divisor Sum 4,634,046

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3971993 ← → #3972011

Radix Representation

Decimal	3972006
Binary	1111001001101110100110 (22 bits)
Octal	0o17115646
Hexadecimal	0x3C9BA6

Divisor Catalog (12)

1 2 3 6 9 18 220,667 441,334 662,001 1,324,002 1,986,003 3,972,006

Collatz Trajectory (216 steps to reach 1)

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

3,972,006 1,986,003 5,958,010 2,979,005 8,937,016 4,468,508 2,234,254 1,117,127 3,351,382 1,675,691 5,027,074 2,513,537 7,540,612 3,770,306 1,885,153 5,655,460 2,827,730 1,413,865 4,241,596 2,120,798 1,060,399 3,181,198 1,590,599 4,771,798 2,385,899 7,157,698 3,578,849 10,736,548 5,368,274 2,684,137 8,052,412 4,026,206 2,013,103 6,039,310 3,019,655 9,058,966 4,529,483 13,588,450 6,794,225 20,382,676 10,191,338 5,095,669 15,287,008 7,643,504 3,821,752 1,910,876 955,438 477,719 1,433,158 716,579 2,149,738 1,074,869 3,224,608 1,612,304 806,152 403,076 201,538 100,769 302,308 151,154

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,972,005 Browse Full Index Next Integer #3,972,007 →