3,999,104

2⁷ × 157 × 199

3,999,104 has digital root 8. The neighboring primes are 3999067 and 3999109; its proper-divisor sum differs from the starting integer by 59,792.

Prime Factor Structure

Factorization String 2^7 × 157 × 199

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,058,000

Proper Divisor Sum 4,058,896

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3999067 ← → #3999109

Radix Representation

Decimal	3999104
Binary	1111010000010110000000 (22 bits)
Octal	0o17202600
Hexadecimal	0x3D0580

Divisor Catalog (32)

1 2 4 8 16 32 64 128 157 199 314 398 628 796 1,256 1,592 2,512 3,184 5,024 6,368 10,048 12,736 20,096 25,472 31,243 62,486 124,972 249,944 499,888 999,776 1,999,552 3,999,104

Collatz Trajectory (154 steps to reach 1)

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

3,999,104 1,999,552 999,776 499,888 249,944 124,972 62,486 31,243 93,730 46,865 140,596 70,298 35,149 105,448 52,724 26,362 13,181 39,544 19,772 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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