7,501,698

2 × 3² × 416761

7,501,698 factors as 2 × 3^2 × 416761. Its 12 positive divisors give a proper-divisor sum of 8,752,020, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 416761

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,253,718

Proper Divisor Sum 8,752,020

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7501693 ← → #7501723

Radix Representation

Decimal	7501698
Binary	11100100111011110000010 (23 bits)
Octal	0o34473602
Hexadecimal	0x727782

Divisor Catalog (12)

1 2 3 6 9 18 416,761 833,522 1,250,283 2,500,566 3,750,849 7,501,698

Collatz Trajectory (160 steps to reach 1)

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

7,501,698 3,750,849 11,252,548 5,626,274 2,813,137 8,439,412 4,219,706 2,109,853 6,329,560 3,164,780 1,582,390 791,195 2,373,586 1,186,793 3,560,380 1,780,190 890,095 2,670,286 1,335,143 4,005,430 2,002,715 6,008,146 3,004,073 9,012,220 4,506,110 2,253,055 6,759,166 3,379,583 10,138,750 5,069,375 15,208,126 7,604,063 22,812,190 11,406,095 34,218,286 17,109,143 51,327,430 25,663,715 76,991,146 38,495,573 115,486,720 57,743,360 28,871,680 14,435,840 7,217,920 3,608,960 1,804,480 902,240 451,120 225,560 112,780 56,390 28,195 84,586 42,293 126,880 63,440 31,720 15,860 7,930

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