1,687,185

3² × 5 × 37493

Starting at 1,687,185, the Collatz iteration reaches 1 after 106 steps. The first transition is 5061556; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 37493

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,924,532

Proper Divisor Sum 1,237,347

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1687183 ← → #1687187

Radix Representation

Decimal	1687185
Binary	110011011111010010001 (21 bits)
Octal	0o6337221
Hexadecimal	0x19BE91

Divisor Catalog (12)

1 3 5 9 15 45 37,493 112,479 187,465 337,437 562,395 1,687,185

Collatz Trajectory (106 steps to reach 1)

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

1,687,185 5,061,556 2,530,778 1,265,389 3,796,168 1,898,084 949,042 474,521 1,423,564 711,782 355,891 1,067,674 533,837 1,601,512 800,756 400,378 200,189 600,568 300,284 150,142 75,071 225,214 112,607 337,822 168,911 506,734 253,367 760,102 380,051 1,140,154 570,077 1,710,232 855,116 427,558 213,779 641,338 320,669 962,008 481,004 240,502 120,251 360,754 180,377 541,132 270,566 135,283 405,850 202,925 608,776 304,388 152,194 76,097 228,292 114,146 57,073 171,220 85,610 42,805 128,416 64,208

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