λ
Sequence Observatory

3,744,063

34 × 17 × 2719
Deficient Odd Composite

Starting at 3,744,063, the Collatz iteration reaches 1 after 159 steps. The first transition is 11232190; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 17 × 2719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,924,160
Proper Divisor Sum 2,180,097
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3744049 ← → #3744071

Radix Representation

Decimal 3744063
Binary 1110010010000100111111 (22 bits)
Octal 0o16220477
Hexadecimal 0x39213F

Divisor Catalog (20)

1 3 9 17 27 51 81 153 459 1,377 2,719 8,157 24,471 46,223 73,413 138,669 220,239 416,007 1,248,021 3,744,063

Collatz Trajectory (159 steps to reach 1)

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

3,744,063 11,232,190 5,616,095 16,848,286 8,424,143 25,272,430 12,636,215 37,908,646 18,954,323 56,862,970 28,431,485 85,294,456 42,647,228 21,323,614 10,661,807 31,985,422 15,992,711 47,978,134 23,989,067 71,967,202 35,983,601 107,950,804 53,975,402 26,987,701 80,963,104 40,481,552 20,240,776 10,120,388 5,060,194 2,530,097 7,590,292 3,795,146 1,897,573 5,692,720 2,846,360 1,423,180 711,590 355,795 1,067,386 533,693 1,601,080 800,540 400,270 200,135 600,406 300,203 900,610 450,305 1,350,916 675,458 337,729 1,013,188 506,594 253,297 759,892 379,946 189,973 569,920 284,960 142,480

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