5,852,385

3³ × 5 × 7 × 11 × 563

Starting at 5,852,385, the Collatz iteration reaches 1 after 201 steps. The first transition is 17557156; the starting value is odd with 64 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 11 × 563

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 12,994,560

Proper Divisor Sum 7,142,175

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5852377 ← → #5852389

Radix Representation

Decimal	5852385
Binary	10110010100110011100001 (23 bits)
Octal	0o26246341
Hexadecimal	0x594CE1

Divisor Catalog (60 of 64)

1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 563 693 945 1,155 1,485 1,689 2,079 2,815 3,465 3,941 5,067 6,193 8,445 10,395 11,823 15,201 18,579 19,705 25,335 30,965 35,469 43,351 55,737 59,115 76,005 92,895 106,407 130,053 167,211 177,345 216,755 278,685 390,159 532,035 650,265

Collatz Trajectory (201 steps to reach 1)

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

5,852,385 17,557,156 8,778,578 4,389,289 13,167,868 6,583,934 3,291,967 9,875,902 4,937,951 14,813,854 7,406,927 22,220,782 11,110,391 33,331,174 16,665,587 49,996,762 24,998,381 74,995,144 37,497,572 18,748,786 9,374,393 28,123,180 14,061,590 7,030,795 21,092,386 10,546,193 31,638,580 15,819,290 7,909,645 23,728,936 11,864,468 5,932,234 2,966,117 8,898,352 4,449,176 2,224,588 1,112,294 556,147 1,668,442 834,221 2,502,664 1,251,332 625,666 312,833 938,500 469,250 234,625 703,876 351,938 175,969 527,908 263,954 131,977 395,932 197,966 98,983 296,950 148,475 445,426 222,713

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