3,962,825

5² × 293 × 541

3,962,825 factors as 5^2 × 293 × 541. Its 12 positive divisors give a proper-divisor sum of 976,963, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 5^2 × 293 × 541

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,939,788

Proper Divisor Sum 976,963

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3962813 ← → #3962839

Radix Representation

Decimal	3962825
Binary	1111000111011111001001 (22 bits)
Octal	0o17073711
Hexadecimal	0x3C77C9

Divisor Catalog (12)

1 5 25 293 541 1,465 2,705 7,325 13,525 158,513 792,565 3,962,825

Collatz Trajectory (198 steps to reach 1)

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

3,962,825 11,888,476 5,944,238 2,972,119 8,916,358 4,458,179 13,374,538 6,687,269 20,061,808 10,030,904 5,015,452 2,507,726 1,253,863 3,761,590 1,880,795 5,642,386 2,821,193 8,463,580 4,231,790 2,115,895 6,347,686 3,173,843 9,521,530 4,760,765 14,282,296 7,141,148 3,570,574 1,785,287 5,355,862 2,677,931 8,033,794 4,016,897 12,050,692 6,025,346 3,012,673 9,038,020 4,519,010 2,259,505 6,778,516 3,389,258 1,694,629 5,083,888 2,541,944 1,270,972 635,486 317,743 953,230 476,615 1,429,846 714,923 2,144,770 1,072,385 3,217,156 1,608,578 804,289 2,412,868 1,206,434 603,217 1,809,652 904,826

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