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Atlas › Integer Profiles › Node 9,655,320

9,655,320

23 × 3 × 5 × 17 × 4733
Abundant Even Composite

9,655,320 factors as 2^3 × 3 × 5 × 17 × 4733. Its 64 positive divisors give a proper-divisor sum of 21,021,000, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 17 × 4733
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 30,676,320
Proper Divisor Sum 21,021,000
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9655309 ← → #9655333

Radix Representation

Decimal 9655320
Binary 100100110101010000011000 (24 bits)
Octal 0o44652030
Hexadecimal 0x935418

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1,020 2,040 4,733 9,466 14,199 18,932 23,665 28,398 37,864 47,330 56,796 70,995 80,461 94,660 113,592 141,990 160,922 189,320 241,383 283,980 321,844 402,305 482,766 567,960 643,688 804,610 965,532 1,206,915 1,609,220 1,931,064

Collatz Trajectory (70 steps to reach 1)

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

9,655,320 4,827,660 2,413,830 1,206,915 3,620,746 1,810,373 5,431,120 2,715,560 1,357,780 678,890 339,445 1,018,336 509,168 254,584 127,292 63,646 31,823 95,470 47,735 143,206 71,603 214,810 107,405 322,216 161,108 80,554 40,277 120,832 60,416 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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