2,085,475

5² × 7 × 17 × 701

Starting at 2,085,475, the Collatz iteration reaches 1 after 228 steps. The first transition is 6256426; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 17 × 701

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,133,728

Proper Divisor Sum 1,048,253

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2085469 ← → #2085481

Radix Representation

Decimal	2085475
Binary	111111101001001100011 (21 bits)
Octal	0o7751143
Hexadecimal	0x1FD263

Divisor Catalog (24)

1 5 7 17 25 35 85 119 175 425 595 701 2,975 3,505 4,907 11,917 17,525 24,535 59,585 83,419 122,675 297,925 417,095 2,085,475

Collatz Trajectory (228 steps to reach 1)

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

2,085,475 6,256,426 3,128,213 9,384,640 4,692,320 2,346,160 1,173,080 586,540 293,270 146,635 439,906 219,953 659,860 329,930 164,965 494,896 247,448 123,724 61,862 30,931 92,794 46,397 139,192 69,596 34,798 17,399 52,198 26,099 78,298 39,149 117,448 58,724 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207

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