3,703,780

2² × 5 × 185189

3,703,780 factors as 2^2 × 5 × 185189. Its 12 positive divisors give a proper-divisor sum of 4,074,200, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 185189

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,777,980

Proper Divisor Sum 4,074,200

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3703769 ← → #3703781

Radix Representation

Decimal	3703780
Binary	1110001000001111100100 (22 bits)
Octal	0o16101744
Hexadecimal	0x3883E4

Divisor Catalog (12)

1 2 4 5 10 20 185,189 370,378 740,756 925,945 1,851,890 3,703,780

Collatz Trajectory (141 steps to reach 1)

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

3,703,780 1,851,890 925,945 2,777,836 1,388,918 694,459 2,083,378 1,041,689 3,125,068 1,562,534 781,267 2,343,802 1,171,901 3,515,704 1,757,852 878,926 439,463 1,318,390 659,195 1,977,586 988,793 2,966,380 1,483,190 741,595 2,224,786 1,112,393 3,337,180 1,668,590 834,295 2,502,886 1,251,443 3,754,330 1,877,165 5,631,496 2,815,748 1,407,874 703,937 2,111,812 1,055,906 527,953 1,583,860 791,930 395,965 1,187,896 593,948 296,974 148,487 445,462 222,731 668,194 334,097 1,002,292 501,146 250,573 751,720 375,860 187,930 93,965 281,896 140,948

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