1,751,005

5 × 61 × 5741

1,751,005 factors as 5 × 61 × 5741. Its 8 positive divisors give a proper-divisor sum of 385,019, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 5 × 61 × 5741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,136,024

Proper Divisor Sum 385,019

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1750999 ← → #1751011

Radix Representation

Decimal	1751005
Binary	110101011011111011101 (21 bits)
Octal	0o6533735
Hexadecimal	0x1AB7DD

Divisor Catalog (8)

1 5 61 305 5,741 28,705 350,201 1,751,005

Collatz Trajectory (189 steps to reach 1)

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

1,751,005 5,253,016 2,626,508 1,313,254 656,627 1,969,882 984,941 2,954,824 1,477,412 738,706 369,353 1,108,060 554,030 277,015 831,046 415,523 1,246,570 623,285 1,869,856 934,928 467,464 233,732 116,866 58,433 175,300 87,650 43,825 131,476 65,738 32,869 98,608 49,304 24,652 12,326 6,163 18,490 9,245 27,736 13,868 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853

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