2,008,136

2³ × 13 × 19309

2,008,136 factors as 2^3 × 13 × 19309. Its 16 positive divisors give a proper-divisor sum of 2,046,964, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 19309

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,055,100

Proper Divisor Sum 2,046,964

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2008121 ← → #2008141

Radix Representation

Decimal	2008136
Binary	111101010010001001000 (21 bits)
Octal	0o7522110
Hexadecimal	0x1EA448

Divisor Catalog (16)

1 2 4 8 13 26 52 104 19,309 38,618 77,236 154,472 251,017 502,034 1,004,068 2,008,136

Collatz Trajectory (166 steps to reach 1)

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

2,008,136 1,004,068 502,034 251,017 753,052 376,526 188,263 564,790 282,395 847,186 423,593 1,270,780 635,390 317,695 953,086 476,543 1,429,630 714,815 2,144,446 1,072,223 3,216,670 1,608,335 4,825,006 2,412,503 7,237,510 3,618,755 10,856,266 5,428,133 16,284,400 8,142,200 4,071,100 2,035,550 1,017,775 3,053,326 1,526,663 4,579,990 2,289,995 6,869,986 3,434,993 10,304,980 5,152,490 2,576,245 7,728,736 3,864,368 1,932,184 966,092 483,046 241,523 724,570 362,285 1,086,856 543,428 271,714 135,857 407,572 203,786 101,893 305,680 152,840 76,420

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