3,962,884

2² × 263 × 3767

3,962,884 factors as 2^2 × 263 × 3767. Its 12 positive divisors give a proper-divisor sum of 3,000,380, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 263 × 3767

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,963,264

Proper Divisor Sum 3,000,380

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3962867 ← → #3962897

Radix Representation

Decimal	3962884
Binary	1111000111100000000100 (22 bits)
Octal	0o17074004
Hexadecimal	0x3C7804

Divisor Catalog (12)

1 2 4 263 526 1,052 3,767 7,534 15,068 990,721 1,981,442 3,962,884

Collatz Trajectory (185 steps to reach 1)

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

3,962,884 1,981,442 990,721 2,972,164 1,486,082 743,041 2,229,124 1,114,562 557,281 1,671,844 835,922 417,961 1,253,884 626,942 313,471 940,414 470,207 1,410,622 705,311 2,115,934 1,057,967 3,173,902 1,586,951 4,760,854 2,380,427 7,141,282 3,570,641 10,711,924 5,355,962 2,677,981 8,033,944 4,016,972 2,008,486 1,004,243 3,012,730 1,506,365 4,519,096 2,259,548 1,129,774 564,887 1,694,662 847,331 2,541,994 1,270,997 3,812,992 1,906,496 953,248 476,624 238,312 119,156 59,578 29,789 89,368 44,684 22,342 11,171 33,514 16,757 50,272 25,136

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