888,019

11² × 41 × 179

888,019 factors as 11^2 × 41 × 179. Its 12 positive divisors give a proper-divisor sum of 117,461, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 11^2 × 41 × 179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,005,480

Proper Divisor Sum 117,461

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #888011 ← → #888047

Radix Representation

Decimal	888019
Binary	11011000110011010011 (20 bits)
Octal	0o3306323
Hexadecimal	0xD8CD3

Divisor Catalog (12)

1 11 41 121 179 451 1,969 4,961 7,339 21,659 80,729 888,019

Collatz Trajectory (144 steps to reach 1)

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

888,019 2,664,058 1,332,029 3,996,088 1,998,044 999,022 499,511 1,498,534 749,267 2,247,802 1,123,901 3,371,704 1,685,852 842,926 421,463 1,264,390 632,195 1,896,586 948,293 2,844,880 1,422,440 711,220 355,610 177,805 533,416 266,708 133,354 66,677 200,032 100,016 50,008 25,004 12,502 6,251 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808

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