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2,006,901

32 × 13 × 17 × 1009
Deficient Odd Composite

2,006,901 factors as 3^2 × 13 × 17 × 1009. Its 24 positive divisors give a proper-divisor sum of 1,301,859, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 17 × 1009
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,308,760
Proper Divisor Sum 1,301,859
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2006899 ← → #2006903

Radix Representation

Decimal 2006901
Binary 111101001111101110101 (21 bits)
Octal 0o7517565
Hexadecimal 0x1E9F75

Divisor Catalog (24)

1 3 9 13 17 39 51 117 153 221 663 1,009 1,989 3,027 9,081 13,117 17,153 39,351 51,459 118,053 154,377 222,989 668,967 2,006,901

Collatz Trajectory (91 steps to reach 1)

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

2,006,901 6,020,704 3,010,352 1,505,176 752,588 376,294 188,147 564,442 282,221 846,664 423,332 211,666 105,833 317,500 158,750 79,375 238,126 119,063 357,190 178,595 535,786 267,893 803,680 401,840 200,920 100,460 50,230 25,115 75,346 37,673 113,020 56,510 28,255 84,766 42,383 127,150 63,575 190,726 95,363 286,090 143,045 429,136 214,568 107,284 53,642 26,821 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 2,830 1,415 4,246 2,123

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