3,753,180

2² × 3² × 5 × 29 × 719

Starting at 3,753,180, the Collatz iteration reaches 1 after 185 steps. The first transition is 1876590; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 29 × 719

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 11,793,600

Proper Divisor Sum 8,040,420

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3753179 ← → #3753193

Radix Representation

Decimal	3753180
Binary	1110010100010011011100 (22 bits)
Octal	0o16242334
Hexadecimal	0x3944DC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 719 870 1,044 1,305 1,438 1,740 2,157 2,610 2,876 3,595 4,314 5,220 6,471 7,190 8,628 10,785 12,942 14,380 20,851 21,570 25,884 32,355 41,702 43,140 62,553 64,710 83,404 104,255 125,106 129,420

Collatz Trajectory (185 steps to reach 1)

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

3,753,180 1,876,590 938,295 2,814,886 1,407,443 4,222,330 2,111,165 6,333,496 3,166,748 1,583,374 791,687 2,375,062 1,187,531 3,562,594 1,781,297 5,343,892 2,671,946 1,335,973 4,007,920 2,003,960 1,001,980 500,990 250,495 751,486 375,743 1,127,230 563,615 1,690,846 845,423 2,536,270 1,268,135 3,804,406 1,902,203 5,706,610 2,853,305 8,559,916 4,279,958 2,139,979 6,419,938 3,209,969 9,629,908 4,814,954 2,407,477 7,222,432 3,611,216 1,805,608 902,804 451,402 225,701 677,104 338,552 169,276 84,638 42,319 126,958 63,479 190,438 95,219 285,658 142,829

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