3,772,044

2² × 3² × 104779

3,772,044 factors as 2^2 × 3^2 × 104779. Its 18 positive divisors give a proper-divisor sum of 5,762,936, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 104779

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 9,534,980

Proper Divisor Sum 5,762,936

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3772031 ← → #3772099

Radix Representation

Decimal	3772044
Binary	1110011000111010001100 (22 bits)
Octal	0o16307214
Hexadecimal	0x398E8C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 104,779 209,558 314,337 419,116 628,674 943,011 1,257,348 1,886,022 3,772,044

Collatz Trajectory (128 steps to reach 1)

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

3,772,044 1,886,022 943,011 2,829,034 1,414,517 4,243,552 2,121,776 1,060,888 530,444 265,222 132,611 397,834 198,917 596,752 298,376 149,188 74,594 37,297 111,892 55,946 27,973 83,920 41,960 20,980 10,490 5,245 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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