9,704,560

2⁴ × 5 × 29 × 47 × 89

9,704,560 factors as 2^4 × 5 × 29 × 47 × 89. Its 80 positive divisors give a proper-divisor sum of 14,401,040, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 29 × 47 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 24,105,600

Proper Divisor Sum 14,401,040

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9704543 ← → #9704561

Radix Representation

Decimal	9704560
Binary	100101000001010001110000 (24 bits)
Octal	0o45012160
Hexadecimal	0x941470

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 29 40 47 58 80 89 94 116 145 178 188 232 235 290 356 376 445 464 470 580 712 752 890 940 1,160 1,363 1,424 1,780 1,880 2,320 2,581 2,726 3,560 3,760 4,183 5,162 5,452 6,815 7,120 8,366 10,324 10,904 12,905 13,630 16,732 20,648 20,915 21,808 25,810 27,260 33,464 41,296

Collatz Trajectory (176 steps to reach 1)

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

9,704,560 4,852,280 2,426,140 1,213,070 606,535 1,819,606 909,803 2,729,410 1,364,705 4,094,116 2,047,058 1,023,529 3,070,588 1,535,294 767,647 2,302,942 1,151,471 3,454,414 1,727,207 5,181,622 2,590,811 7,772,434 3,886,217 11,658,652 5,829,326 2,914,663 8,743,990 4,371,995 13,115,986 6,557,993 19,673,980 9,836,990 4,918,495 14,755,486 7,377,743 22,133,230 11,066,615 33,199,846 16,599,923 49,799,770 24,899,885 74,699,656 37,349,828 18,674,914 9,337,457 28,012,372 14,006,186 7,003,093 21,009,280 10,504,640 5,252,320 2,626,160 1,313,080 656,540 328,270 164,135 492,406 246,203 738,610 369,305

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