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Atlas › Integer Profiles › Node 8,680,280

8,680,280

23 × 5 × 7 × 29 × 1069
Abundant Even Composite

8,680,280 factors as 2^3 × 5 × 7 × 29 × 1069. Its 64 positive divisors give a proper-divisor sum of 14,431,720, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 29 × 1069
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,112,000
Proper Divisor Sum 14,431,720
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8680277 ← → #8680297

Radix Representation

Decimal 8680280
Binary 100001000111001101011000 (24 bits)
Octal 0o41071530
Hexadecimal 0x847358

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1,015 1,069 1,160 1,624 2,030 2,138 4,060 4,276 5,345 7,483 8,120 8,552 10,690 14,966 21,380 29,932 31,001 37,415 42,760 59,864 62,002 74,830 124,004 149,660 155,005 217,007 248,008 299,320 310,010 434,014 620,020 868,028 1,085,035 1,240,040

Collatz Trajectory (168 steps to reach 1)

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

8,680,280 4,340,140 2,170,070 1,085,035 3,255,106 1,627,553 4,882,660 2,441,330 1,220,665 3,661,996 1,830,998 915,499 2,746,498 1,373,249 4,119,748 2,059,874 1,029,937 3,089,812 1,544,906 772,453 2,317,360 1,158,680 579,340 289,670 144,835 434,506 217,253 651,760 325,880 162,940 81,470 40,735 122,206 61,103 183,310 91,655 274,966 137,483 412,450 206,225 618,676 309,338 154,669 464,008 232,004 116,002 58,001 174,004 87,002 43,501 130,504 65,252 32,626 16,313 48,940 24,470 12,235 36,706 18,353 55,060

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