3,999,998

2 × 17 × 71 × 1657

3,999,998 factors as 2 × 17 × 71 × 1657. Its 16 positive divisors give a proper-divisor sum of 2,446,306, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 17 × 71 × 1657

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,446,304

Proper Divisor Sum 2,446,306

Digit Sum / Digital Root 56 (Root: 2)

Adjacent Primes #3999971 ← → #4000037

Radix Representation

Decimal	3999998
Binary	1111010000100011111110 (22 bits)
Octal	0o17204376
Hexadecimal	0x3D08FE

Divisor Catalog (16)

1 2 17 34 71 142 1,207 1,657 2,414 3,314 28,169 56,338 117,647 235,294 1,999,999 3,999,998

Collatz Trajectory (185 steps to reach 1)

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

3,999,998 1,999,999 5,999,998 2,999,999 8,999,998 4,499,999 13,499,998 6,749,999 20,249,998 10,124,999 30,374,998 15,187,499 45,562,498 22,781,249 68,343,748 34,171,874 17,085,937 51,257,812 25,628,906 12,814,453 38,443,360 19,221,680 9,610,840 4,805,420 2,402,710 1,201,355 3,604,066 1,802,033 5,406,100 2,703,050 1,351,525 4,054,576 2,027,288 1,013,644 506,822 253,411 760,234 380,117 1,140,352 570,176 285,088 142,544 71,272 35,636 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706

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