3,292,577

17² × 11393

Starting at 3,292,577, the Collatz iteration reaches 1 after 115 steps. The first transition is 9877732; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 17^2 × 11393

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,497,958

Proper Divisor Sum 205,381

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3292561 ← → #3292579

Radix Representation

Decimal	3292577
Binary	1100100011110110100001 (22 bits)
Octal	0o14436641
Hexadecimal	0x323DA1

Divisor Catalog (6)

1 17 289 11,393 193,681 3,292,577

Collatz Trajectory (115 steps to reach 1)

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

3,292,577 9,877,732 4,938,866 2,469,433 7,408,300 3,704,150 1,852,075 5,556,226 2,778,113 8,334,340 4,167,170 2,083,585 6,250,756 3,125,378 1,562,689 4,688,068 2,344,034 1,172,017 3,516,052 1,758,026 879,013 2,637,040 1,318,520 659,260 329,630 164,815 494,446 247,223 741,670 370,835 1,112,506 556,253 1,668,760 834,380 417,190 208,595 625,786 312,893 938,680 469,340 234,670 117,335 352,006 176,003 528,010 264,005 792,016 396,008 198,004 99,002 49,501 148,504 74,252 37,126 18,563 55,690 27,845 83,536 41,768 20,884

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