3,998,340

2² × 3² × 5 × 97 × 229

Starting at 3,998,340, the Collatz iteration reaches 1 after 141 steps. The first transition is 1999170; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 97 × 229

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 12,306,840

Proper Divisor Sum 8,308,500

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3998339 ← → #3998353

Radix Representation

Decimal	3998340
Binary	1111010000001010000100 (22 bits)
Octal	0o17201204
Hexadecimal	0x3D0284

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 229 291 388 458 485 582 687 873 916 970 1,145 1,164 1,374 1,455 1,746 1,940 2,061 2,290 2,748 2,910 3,435 3,492 4,122 4,365 4,580 5,820 6,870 8,244 8,730 10,305 13,740 17,460 20,610 22,213 41,220 44,426 66,639 88,852 111,065 133,278

Collatz Trajectory (141 steps to reach 1)

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

3,998,340 1,999,170 999,585 2,998,756 1,499,378 749,689 2,249,068 1,124,534 562,267 1,686,802 843,401 2,530,204 1,265,102 632,551 1,897,654 948,827 2,846,482 1,423,241 4,269,724 2,134,862 1,067,431 3,202,294 1,601,147 4,803,442 2,401,721 7,205,164 3,602,582 1,801,291 5,403,874 2,701,937 8,105,812 4,052,906 2,026,453 6,079,360 3,039,680 1,519,840 759,920 379,960 189,980 94,990 47,495 142,486 71,243 213,730 106,865 320,596 160,298 80,149 240,448 120,224 60,112 30,056 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228

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