3,786,992

2⁴ × 11 × 21517

3,786,992 factors as 2^4 × 11 × 21517. Its 20 positive divisors give a proper-divisor sum of 4,217,704, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 21517

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,004,696

Proper Divisor Sum 4,217,704

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #3786989 ← → #3787031

Radix Representation

Decimal	3786992
Binary	1110011100100011110000 (22 bits)
Octal	0o16344360
Hexadecimal	0x39C8F0

Divisor Catalog (20)

Collatz Trajectory (203 steps to reach 1)

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

3,786,992 1,893,496 946,748 473,374 236,687 710,062 355,031 1,065,094 532,547 1,597,642 798,821 2,396,464 1,198,232 599,116 299,558 149,779 449,338 224,669 674,008 337,004 168,502 84,251 252,754 126,377 379,132 189,566 94,783 284,350 142,175 426,526 213,263 639,790 319,895 959,686 479,843 1,439,530 719,765 2,159,296 1,079,648 539,824 269,912 134,956 67,478 33,739 101,218 50,609 151,828 75,914 37,957 113,872 56,936 28,468 14,234 7,117 21,352 10,676 5,338 2,669 8,008 4,004

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