1,743,135

3 × 5 × 79 × 1471

Starting at 1,743,135, the Collatz iteration reaches 1 after 145 steps. The first transition is 5229406; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 79 × 1471

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,826,240

Proper Divisor Sum 1,083,105

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1743127 ← → #1743143

Radix Representation

Decimal	1743135
Binary	110101001100100011111 (21 bits)
Octal	0o6514437
Hexadecimal	0x1A991F

Divisor Catalog (16)

1 3 5 15 79 237 395 1,185 1,471 4,413 7,355 22,065 116,209 348,627 581,045 1,743,135

Collatz Trajectory (145 steps to reach 1)

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

1,743,135 5,229,406 2,614,703 7,844,110 3,922,055 11,766,166 5,883,083 17,649,250 8,824,625 26,473,876 13,236,938 6,618,469 19,855,408 9,927,704 4,963,852 2,481,926 1,240,963 3,722,890 1,861,445 5,584,336 2,792,168 1,396,084 698,042 349,021 1,047,064 523,532 261,766 130,883 392,650 196,325 588,976 294,488 147,244 73,622 36,811 110,434 55,217 165,652 82,826 41,413 124,240 62,120 31,060 15,530 7,765 23,296 11,648 5,824 2,912 1,456 728 364 182 91 274 137 412 206 103 310

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