3,997,732

2² × 999433

3,997,732 has digital root 4. The neighboring primes are 3997723 and 3997751; its proper-divisor sum differs from the starting integer by -999,426.

Prime Factor Structure

Factorization String 2^2 × 999433

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 6,996,038

Proper Divisor Sum 2,998,306

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3997723 ← → #3997751

Radix Representation

Decimal	3997732
Binary	1111010000000000100100 (22 bits)
Octal	0o17200044
Hexadecimal	0x3D0024

Divisor Catalog (6)

1 2 4 999,433 1,998,866 3,997,732

Collatz Trajectory (141 steps to reach 1)

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

3,997,732 1,998,866 999,433 2,998,300 1,499,150 749,575 2,248,726 1,124,363 3,373,090 1,686,545 5,059,636 2,529,818 1,264,909 3,794,728 1,897,364 948,682 474,341 1,423,024 711,512 355,756 177,878 88,939 266,818 133,409 400,228 200,114 100,057 300,172 150,086 75,043 225,130 112,565 337,696 168,848 84,424 42,212 21,106 10,553 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228

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