3,782,082

2 × 3 × 109 × 5783

3,782,082 has digital root 3. The neighboring primes are 3782081 and 3782087; its proper-divisor sum differs from the starting integer by 70,716.

Prime Factor Structure

Factorization String 2 × 3 × 109 × 5783

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,634,880

Proper Divisor Sum 3,852,798

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3782081 ← → #3782087

Radix Representation

Decimal	3782082
Binary	1110011011010111000010 (22 bits)
Octal	0o16332702
Hexadecimal	0x39B5C2

Divisor Catalog (16)

1 2 3 6 109 218 327 654 5,783 11,566 17,349 34,698 630,347 1,260,694 1,891,041 3,782,082

Collatz Trajectory (216 steps to reach 1)

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

3,782,082 1,891,041 5,673,124 2,836,562 1,418,281 4,254,844 2,127,422 1,063,711 3,191,134 1,595,567 4,786,702 2,393,351 7,180,054 3,590,027 10,770,082 5,385,041 16,155,124 8,077,562 4,038,781 12,116,344 6,058,172 3,029,086 1,514,543 4,543,630 2,271,815 6,815,446 3,407,723 10,223,170 5,111,585 15,334,756 7,667,378 3,833,689 11,501,068 5,750,534 2,875,267 8,625,802 4,312,901 12,938,704 6,469,352 3,234,676 1,617,338 808,669 2,426,008 1,213,004 606,502 303,251 909,754 454,877 1,364,632 682,316 341,158 170,579 511,738 255,869 767,608 383,804 191,902 95,951 287,854 143,927

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