3,968,772

2² × 3 × 330731

3,968,772 factors as 2^2 × 3 × 330731. Its 12 positive divisors give a proper-divisor sum of 5,291,724, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 330731

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,260,496

Proper Divisor Sum 5,291,724

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3968761 ← → #3968801

Radix Representation

Decimal	3968772
Binary	1111001000111100000100 (22 bits)
Octal	0o17107404
Hexadecimal	0x3C8F04

Divisor Catalog (12)

1 2 3 4 6 12 330,731 661,462 992,193 1,322,924 1,984,386 3,968,772

Collatz Trajectory (123 steps to reach 1)

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

3,968,772 1,984,386 992,193 2,976,580 1,488,290 744,145 2,232,436 1,116,218 558,109 1,674,328 837,164 418,582 209,291 627,874 313,937 941,812 470,906 235,453 706,360 353,180 176,590 88,295 264,886 132,443 397,330 198,665 595,996 297,998 148,999 446,998 223,499 670,498 335,249 1,005,748 502,874 251,437 754,312 377,156 188,578 94,289 282,868 141,434 70,717 212,152 106,076 53,038 26,519 79,558 39,779 119,338 59,669 179,008 89,504 44,752 22,376 11,188 5,594 2,797 8,392 4,196

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,968,771 Browse Full Index Next Integer #3,968,773 →