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Atlas › Integer Profiles › Node 8,568,280

8,568,280

23 × 5 × 7 × 71 × 431
Abundant Even Composite

8,568,280 factors as 2^3 × 5 × 7 × 71 × 431. Its 64 positive divisors give a proper-divisor sum of 13,826,600, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 71 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,394,880
Proper Divisor Sum 13,826,600
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8568271 ← → #8568281

Radix Representation

Decimal 8568280
Binary 100000101011110111011000 (24 bits)
Octal 0o40536730
Hexadecimal 0x82BDD8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 431 497 568 710 862 994 1,420 1,724 1,988 2,155 2,485 2,840 3,017 3,448 3,976 4,310 4,970 6,034 8,620 9,940 12,068 15,085 17,240 19,880 24,136 30,170 30,601 60,340 61,202 120,680 122,404 153,005 214,207 244,808 306,010 428,414 612,020 856,828 1,071,035 1,224,040

Collatz Trajectory (150 steps to reach 1)

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

8,568,280 4,284,140 2,142,070 1,071,035 3,213,106 1,606,553 4,819,660 2,409,830 1,204,915 3,614,746 1,807,373 5,422,120 2,711,060 1,355,530 677,765 2,033,296 1,016,648 508,324 254,162 127,081 381,244 190,622 95,311 285,934 142,967 428,902 214,451 643,354 321,677 965,032 482,516 241,258 120,629 361,888 180,944 90,472 45,236 22,618 11,309 33,928 16,964 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070

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