7,728,849

3² × 89 × 9649

7,728,849 factors as 3^2 × 89 × 9649. Its 12 positive divisors give a proper-divisor sum of 3,561,651, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3^2 × 89 × 9649

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,290,500

Proper Divisor Sum 3,561,651

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7728841 ← → #7728857

Radix Representation

Decimal	7728849
Binary	11101011110111011010001 (23 bits)
Octal	0o35367321
Hexadecimal	0x75EED1

Divisor Catalog (12)

1 3 9 89 267 801 9,649 28,947 86,841 858,761 2,576,283 7,728,849

Collatz Trajectory (186 steps to reach 1)

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

7,728,849 23,186,548 11,593,274 5,796,637 17,389,912 8,694,956 4,347,478 2,173,739 6,521,218 3,260,609 9,781,828 4,890,914 2,445,457 7,336,372 3,668,186 1,834,093 5,502,280 2,751,140 1,375,570 687,785 2,063,356 1,031,678 515,839 1,547,518 773,759 2,321,278 1,160,639 3,481,918 1,740,959 5,222,878 2,611,439 7,834,318 3,917,159 11,751,478 5,875,739 17,627,218 8,813,609 26,440,828 13,220,414 6,610,207 19,830,622 9,915,311 29,745,934 14,872,967 44,618,902 22,309,451 66,928,354 33,464,177 100,392,532 50,196,266 25,098,133 75,294,400 37,647,200 18,823,600 9,411,800 4,705,900 2,352,950 1,176,475 3,529,426 1,764,713

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