3,782,622

2 × 3 × 229 × 2753

3,782,622 has digital root 3. The neighboring primes are 3782617 and 3782629; its proper-divisor sum differs from the starting integer by 35,796.

Prime Factor Structure

Factorization String 2 × 3 × 229 × 2753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,601,040

Proper Divisor Sum 3,818,418

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3782617 ← → #3782629

Radix Representation

Decimal	3782622
Binary	1110011011011111011110 (22 bits)
Octal	0o16333736
Hexadecimal	0x39B7DE

Divisor Catalog (16)

1 2 3 6 229 458 687 1,374 2,753 5,506 8,259 16,518 630,437 1,260,874 1,891,311 3,782,622

Collatz Trajectory (278 steps to reach 1)

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

3,782,622 1,891,311 5,673,934 2,836,967 8,510,902 4,255,451 12,766,354 6,383,177 19,149,532 9,574,766 4,787,383 14,362,150 7,181,075 21,543,226 10,771,613 32,314,840 16,157,420 8,078,710 4,039,355 12,118,066 6,059,033 18,177,100 9,088,550 4,544,275 13,632,826 6,816,413 20,449,240 10,224,620 5,112,310 2,556,155 7,668,466 3,834,233 11,502,700 5,751,350 2,875,675 8,627,026 4,313,513 12,940,540 6,470,270 3,235,135 9,705,406 4,852,703 14,558,110 7,279,055 21,837,166 10,918,583 32,755,750 16,377,875 49,133,626 24,566,813 73,700,440 36,850,220 18,425,110 9,212,555 27,637,666 13,818,833 41,456,500 20,728,250 10,364,125 31,092,376

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