3,770,812

2² × 29 × 32507

3,770,812 factors as 2^2 × 29 × 32507. Its 12 positive divisors give a proper-divisor sum of 3,055,868, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 32507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,826,680

Proper Divisor Sum 3,055,868

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3770807 ← → #3770813

Radix Representation

Decimal	3770812
Binary	1110011000100110111100 (22 bits)
Octal	0o16304674
Hexadecimal	0x3989BC

Divisor Catalog (12)

1 2 4 29 58 116 32,507 65,014 130,028 942,703 1,885,406 3,770,812

Collatz Trajectory (110 steps to reach 1)

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

3,770,812 1,885,406 942,703 2,828,110 1,414,055 4,242,166 2,121,083 6,363,250 3,181,625 9,544,876 4,772,438 2,386,219 7,158,658 3,579,329 10,737,988 5,368,994 2,684,497 8,053,492 4,026,746 2,013,373 6,040,120 3,020,060 1,510,030 755,015 2,265,046 1,132,523 3,397,570 1,698,785 5,096,356 2,548,178 1,274,089 3,822,268 1,911,134 955,567 2,866,702 1,433,351 4,300,054 2,150,027 6,450,082 3,225,041 9,675,124 4,837,562 2,418,781 7,256,344 3,628,172 1,814,086 907,043 2,721,130 1,360,565 4,081,696 2,040,848 1,020,424 510,212 255,106 127,553 382,660 191,330 95,665 286,996 143,498

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