2,085,249

3 × 23 × 47 × 643

Starting at 2,085,249, the Collatz iteration reaches 1 after 153 steps. The first transition is 6255748; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 47 × 643

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,967,552

Proper Divisor Sum 882,303

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2085247 ← → #2085253

Radix Representation

Decimal	2085249
Binary	111111101000110000001 (21 bits)
Octal	0o7750601
Hexadecimal	0x1FD181

Divisor Catalog (16)

1 3 23 47 69 141 643 1,081 1,929 3,243 14,789 30,221 44,367 90,663 695,083 2,085,249

Collatz Trajectory (153 steps to reach 1)

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

2,085,249 6,255,748 3,127,874 1,563,937 4,691,812 2,345,906 1,172,953 3,518,860 1,759,430 879,715 2,639,146 1,319,573 3,958,720 1,979,360 989,680 494,840 247,420 123,710 61,855 185,566 92,783 278,350 139,175 417,526 208,763 626,290 313,145 939,436 469,718 234,859 704,578 352,289 1,056,868 528,434 264,217 792,652 396,326 198,163 594,490 297,245 891,736 445,868 222,934 111,467 334,402 167,201 501,604 250,802 125,401 376,204 188,102 94,051 282,154 141,077 423,232 211,616 105,808 52,904 26,452 13,226

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