1,996,028

2² × 31 × 16097

1,996,028 factors as 2^2 × 31 × 16097. Its 12 positive divisors give a proper-divisor sum of 1,609,924, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 16097

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,605,952

Proper Divisor Sum 1,609,924

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1996019 ← → #1996061

Radix Representation

Decimal	1996028
Binary	111100111010011111100 (21 bits)
Octal	0o7472374
Hexadecimal	0x1E74FC

Divisor Catalog (12)

1 2 4 31 62 124 16,097 32,194 64,388 499,007 998,014 1,996,028

Collatz Trajectory (114 steps to reach 1)

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

1,996,028 998,014 499,007 1,497,022 748,511 2,245,534 1,122,767 3,368,302 1,684,151 5,052,454 2,526,227 7,578,682 3,789,341 11,368,024 5,684,012 2,842,006 1,421,003 4,263,010 2,131,505 6,394,516 3,197,258 1,598,629 4,795,888 2,397,944 1,198,972 599,486 299,743 899,230 449,615 1,348,846 674,423 2,023,270 1,011,635 3,034,906 1,517,453 4,552,360 2,276,180 1,138,090 569,045 1,707,136 853,568 426,784 213,392 106,696 53,348 26,674 13,337 40,012 20,006 10,003 30,010 15,005 45,016 22,508 11,254 5,627 16,882 8,441 25,324 12,662

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