3,989,404

2² × 613 × 1627

3,989,404 factors as 2^2 × 613 × 1627. Its 12 positive divisors give a proper-divisor sum of 3,007,740, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 613 × 1627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,997,144

Proper Divisor Sum 3,007,740

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3989393 ← → #3989413

Radix Representation

Decimal	3989404
Binary	1111001101111110011100 (22 bits)
Octal	0o17157634
Hexadecimal	0x3CDF9C

Divisor Catalog (12)

1 2 4 613 1,226 1,627 2,452 3,254 6,508 997,351 1,994,702 3,989,404

Collatz Trajectory (79 steps to reach 1)

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

3,989,404 1,994,702 997,351 2,992,054 1,496,027 4,488,082 2,244,041 6,732,124 3,366,062 1,683,031 5,049,094 2,524,547 7,573,642 3,786,821 11,360,464 5,680,232 2,840,116 1,420,058 710,029 2,130,088 1,065,044 532,522 266,261 798,784 399,392 199,696 99,848 49,924 24,962 12,481 37,444 18,722 9,361 28,084 14,042 7,021 21,064 10,532 5,266 2,633 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704

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