3,691,988

2² × 223 × 4139

3,691,988 factors as 2^2 × 223 × 4139. Its 12 positive divisors give a proper-divisor sum of 2,799,532, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^2 × 223 × 4139

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,491,520

Proper Divisor Sum 2,799,532

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #3691957 ← → #3692021

Radix Representation

Decimal	3691988
Binary	1110000101010111010100 (22 bits)
Octal	0o16052724
Hexadecimal	0x3855D4

Divisor Catalog (12)

1 2 4 223 446 892 4,139 8,278 16,556 922,997 1,845,994 3,691,988

Collatz Trajectory (172 steps to reach 1)

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

3,691,988 1,845,994 922,997 2,768,992 1,384,496 692,248 346,124 173,062 86,531 259,594 129,797 389,392 194,696 97,348 48,674 24,337 73,012 36,506 18,253 54,760 27,380 13,690 6,845 20,536 10,268 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109

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