9,734,660

2² × 5 × 13 × 37441

9,734,660 factors as 2^2 × 5 × 13 × 37441. Its 24 positive divisors give a proper-divisor sum of 12,281,236, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 37441

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 22,015,896

Proper Divisor Sum 12,281,236

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9734653 ← → #9734719

Radix Representation

Decimal	9734660
Binary	100101001000101000000100 (24 bits)
Octal	0o45105004
Hexadecimal	0x948A04

Divisor Catalog (24)

Collatz Trajectory (251 steps to reach 1)

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

9,734,660 4,867,330 2,433,665 7,300,996 3,650,498 1,825,249 5,475,748 2,737,874 1,368,937 4,106,812 2,053,406 1,026,703 3,080,110 1,540,055 4,620,166 2,310,083 6,930,250 3,465,125 10,395,376 5,197,688 2,598,844 1,299,422 649,711 1,949,134 974,567 2,923,702 1,461,851 4,385,554 2,192,777 6,578,332 3,289,166 1,644,583 4,933,750 2,466,875 7,400,626 3,700,313 11,100,940 5,550,470 2,775,235 8,325,706 4,162,853 12,488,560 6,244,280 3,122,140 1,561,070 780,535 2,341,606 1,170,803 3,512,410 1,756,205 5,268,616 2,634,308 1,317,154 658,577 1,975,732 987,866 493,933 1,481,800 740,900 370,450

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