3,665,400

2³ × 3 × 5² × 41 × 149

Starting at 3,665,400, the Collatz iteration reaches 1 after 172 steps. The first transition is 1832700; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 41 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 11,718,000

Proper Divisor Sum 8,052,600

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3665399 ← → #3665401

Radix Representation

Decimal	3665400
Binary	1101111110110111111000 (22 bits)
Octal	0o15766770
Hexadecimal	0x37EDF8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 149 150 164 200 205 246 298 300 328 410 447 492 596 600 615 745 820 894 984 1,025 1,192 1,230 1,490 1,640 1,788 2,050 2,235 2,460 2,980 3,075 3,576 3,725 4,100 4,470 4,920 5,960 6,109

Collatz Trajectory (172 steps to reach 1)

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

3,665,400 1,832,700 916,350 458,175 1,374,526 687,263 2,061,790 1,030,895 3,092,686 1,546,343 4,639,030 2,319,515 6,958,546 3,479,273 10,437,820 5,218,910 2,609,455 7,828,366 3,914,183 11,742,550 5,871,275 17,613,826 8,806,913 26,420,740 13,210,370 6,605,185 19,815,556 9,907,778 4,953,889 14,861,668 7,430,834 3,715,417 11,146,252 5,573,126 2,786,563 8,359,690 4,179,845 12,539,536 6,269,768 3,134,884 1,567,442 783,721 2,351,164 1,175,582 587,791 1,763,374 881,687 2,645,062 1,322,531 3,967,594 1,983,797 5,951,392 2,975,696 1,487,848 743,924 371,962 185,981 557,944 278,972 139,486

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