3,661,836

2² × 3 × 197 × 1549

Starting at 3,661,836, the Collatz iteration reaches 1 after 110 steps. The first transition is 1830918; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 197 × 1549

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,593,200

Proper Divisor Sum 4,931,364

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3661831 ← → #3661841

Radix Representation

Decimal	3661836
Binary	1101111110000000001100 (22 bits)
Octal	0o15760014
Hexadecimal	0x37E00C

Divisor Catalog (24)

1 2 3 4 6 12 197 394 591 788 1,182 1,549 2,364 3,098 4,647 6,196 9,294 18,588 305,153 610,306 915,459 1,220,612 1,830,918 3,661,836

Collatz Trajectory (110 steps to reach 1)

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

3,661,836 1,830,918 915,459 2,746,378 1,373,189 4,119,568 2,059,784 1,029,892 514,946 257,473 772,420 386,210 193,105 579,316 289,658 144,829 434,488 217,244 108,622 54,311 162,934 81,467 244,402 122,201 366,604 183,302 91,651 274,954 137,477 412,432 206,216 103,108 51,554 25,777 77,332 38,666 19,333 58,000 29,000 14,500 7,250 3,625 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237

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