2,008,190

2 × 5 × 409 × 491

Starting at 2,008,190, the Collatz iteration reaches 1 after 166 steps. The first transition is 1004095; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 409 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,630,960

Proper Divisor Sum 1,622,770

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2008189 ← → #2008213

Radix Representation

Decimal	2008190
Binary	111101010010001111110 (21 bits)
Octal	0o7522176
Hexadecimal	0x1EA47E

Divisor Catalog (16)

1 2 5 10 409 491 818 982 2,045 2,455 4,090 4,910 200,819 401,638 1,004,095 2,008,190

Collatz Trajectory (166 steps to reach 1)

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

2,008,190 1,004,095 3,012,286 1,506,143 4,518,430 2,259,215 6,777,646 3,388,823 10,166,470 5,083,235 15,249,706 7,624,853 22,874,560 11,437,280 5,718,640 2,859,320 1,429,660 714,830 357,415 1,072,246 536,123 1,608,370 804,185 2,412,556 1,206,278 603,139 1,809,418 904,709 2,714,128 1,357,064 678,532 339,266 169,633 508,900 254,450 127,225 381,676 190,838 95,419 286,258 143,129 429,388 214,694 107,347 322,042 161,021 483,064 241,532 120,766 60,383 181,150 90,575 271,726 135,863 407,590 203,795 611,386 305,693 917,080 458,540

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