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Atlas › Integer Profiles › Node 2,003,155

2,003,155

5 × 7 × 113 × 43
Deficient Odd Composite

2,003,155 factors as 5 × 7 × 11^3 × 43. Its 32 positive divisors give a proper-divisor sum of 1,088,813, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11^3 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,091,968
Proper Divisor Sum 1,088,813
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2003153 ← → #2003159

Radix Representation

Decimal 2003155
Binary 111101001000011010011 (21 bits)
Octal 0o7510323
Hexadecimal 0x1E90D3

Divisor Catalog (32)

1 5 7 11 35 43 55 77 121 215 301 385 473 605 847 1,331 1,505 2,365 3,311 4,235 5,203 6,655 9,317 16,555 26,015 36,421 46,585 57,233 182,105 286,165 400,631 2,003,155

Collatz Trajectory (140 steps to reach 1)

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

2,003,155 6,009,466 3,004,733 9,014,200 4,507,100 2,253,550 1,126,775 3,380,326 1,690,163 5,070,490 2,535,245 7,605,736 3,802,868 1,901,434 950,717 2,852,152 1,426,076 713,038 356,519 1,069,558 534,779 1,604,338 802,169 2,406,508 1,203,254 601,627 1,804,882 902,441 2,707,324 1,353,662 676,831 2,030,494 1,015,247 3,045,742 1,522,871 4,568,614 2,284,307 6,852,922 3,426,461 10,279,384 5,139,692 2,569,846 1,284,923 3,854,770 1,927,385 5,782,156 2,891,078 1,445,539 4,336,618 2,168,309 6,504,928 3,252,464 1,626,232 813,116 406,558 203,279 609,838 304,919 914,758 457,379

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