2,002,126

2 × 7 × 83 × 1723

2,002,126 factors as 2 × 7 × 83 × 1723. Its 16 positive divisors give a proper-divisor sum of 1,473,458, so this integer is deficient. The Collatz stopping time is 365 steps.

Prime Factor Structure

Factorization String 2 × 7 × 83 × 1723

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,475,584

Proper Divisor Sum 1,473,458

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #2002093 ← → #2002151

Radix Representation

Decimal	2002126
Binary	111101000110011001110 (21 bits)
Octal	0o7506316
Hexadecimal	0x1E8CCE

Divisor Catalog (16)

1 2 7 14 83 166 581 1,162 1,723 3,446 12,061 24,122 143,009 286,018 1,001,063 2,002,126

Collatz Trajectory (365 steps to reach 1)

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

2,002,126 1,001,063 3,003,190 1,501,595 4,504,786 2,252,393 6,757,180 3,378,590 1,689,295 5,067,886 2,533,943 7,601,830 3,800,915 11,402,746 5,701,373 17,104,120 8,552,060 4,276,030 2,138,015 6,414,046 3,207,023 9,621,070 4,810,535 14,431,606 7,215,803 21,647,410 10,823,705 32,471,116 16,235,558 8,117,779 24,353,338 12,176,669 36,530,008 18,265,004 9,132,502 4,566,251 13,698,754 6,849,377 20,548,132 10,274,066 5,137,033 15,411,100 7,705,550 3,852,775 11,558,326 5,779,163 17,337,490 8,668,745 26,006,236 13,003,118 6,501,559 19,504,678 9,752,339 29,257,018 14,628,509 43,885,528 21,942,764 10,971,382 5,485,691 16,457,074

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