3,688,398

2 × 3² × 7 × 73 × 401

Starting at 3,688,398, the Collatz iteration reaches 1 after 203 steps. The first transition is 1844199; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 73 × 401

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,281,376

Proper Divisor Sum 5,592,978

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3688393 ← → #3688453

Radix Representation

Decimal	3688398
Binary	1110000100011111001110 (22 bits)
Octal	0o16043716
Hexadecimal	0x3847CE

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 401 438 511 657 802 1,022 1,203 1,314 1,533 2,406 2,807 3,066 3,609 4,599 5,614 7,218 8,421 9,198 16,842 25,263 29,273 50,526 58,546 87,819 175,638 204,911 263,457 409,822 526,914 614,733 1,229,466 1,844,199 3,688,398

Collatz Trajectory (203 steps to reach 1)

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

3,688,398 1,844,199 5,532,598 2,766,299 8,298,898 4,149,449 12,448,348 6,224,174 3,112,087 9,336,262 4,668,131 14,004,394 7,002,197 21,006,592 10,503,296 5,251,648 2,625,824 1,312,912 656,456 328,228 164,114 82,057 246,172 123,086 61,543 184,630 92,315 276,946 138,473 415,420 207,710 103,855 311,566 155,783 467,350 233,675 701,026 350,513 1,051,540 525,770 262,885 788,656 394,328 197,164 98,582 49,291 147,874 73,937 221,812 110,906 55,453 166,360 83,180 41,590 20,795 62,386 31,193 93,580 46,790 23,395

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