3,967,944

2³ × 3 × 165331

3,967,944 factors as 2^3 × 3 × 165331. Its 16 positive divisors give a proper-divisor sum of 5,951,976, so this integer is abundant. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 165331

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,919,920

Proper Divisor Sum 5,951,976

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3967913 ← → #3967961

Radix Representation

Decimal	3967944
Binary	1111001000101111001000 (22 bits)
Octal	0o17105710
Hexadecimal	0x3C8BC8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 165,331 330,662 495,993 661,324 991,986 1,322,648 1,983,972 3,967,944

Collatz Trajectory (291 steps to reach 1)

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

3,967,944 1,983,972 991,986 495,993 1,487,980 743,990 371,995 1,115,986 557,993 1,673,980 836,990 418,495 1,255,486 627,743 1,883,230 941,615 2,824,846 1,412,423 4,237,270 2,118,635 6,355,906 3,177,953 9,533,860 4,766,930 2,383,465 7,150,396 3,575,198 1,787,599 5,362,798 2,681,399 8,044,198 4,022,099 12,066,298 6,033,149 18,099,448 9,049,724 4,524,862 2,262,431 6,787,294 3,393,647 10,180,942 5,090,471 15,271,414 7,635,707 22,907,122 11,453,561 34,360,684 17,180,342 8,590,171 25,770,514 12,885,257 38,655,772 19,327,886 9,663,943 28,991,830 14,495,915 43,487,746 21,743,873 65,231,620 32,615,810

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,967,943 Browse Full Index Next Integer #3,967,945 →