1,720,341

3² × 7² × 47 × 83

Starting at 1,720,341, the Collatz iteration reaches 1 after 101 steps. The first transition is 5161024; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 47 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,987,712

Proper Divisor Sum 1,267,371

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1720339 ← → #1720361

Radix Representation

Decimal	1720341
Binary	110100100000000010101 (21 bits)
Octal	0o6440025
Hexadecimal	0x1A4015

Divisor Catalog (36)

1 3 7 9 21 47 49 63 83 141 147 249 329 423 441 581 747 987 1,743 2,303 2,961 3,901 4,067 5,229 6,909 11,703 12,201 20,727 27,307 35,109 36,603 81,921 191,149 245,763 573,447 1,720,341

Collatz Trajectory (101 steps to reach 1)

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

1,720,341 5,161,024 2,580,512 1,290,256 645,128 322,564 161,282 80,641 241,924 120,962 60,481 181,444 90,722 45,361 136,084 68,042 34,021 102,064 51,032 25,516 12,758 6,379 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820

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