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7,112,960

28 × 5 × 5557
Abundant Even Composite

7,112,960 factors as 2^8 × 5 × 5557. Its 36 positive divisors give a proper-divisor sum of 9,927,868, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^8 × 5 × 5557
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,040,828
Proper Divisor Sum 9,927,868
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7112951 ← → #7112983

Radix Representation

Decimal 7112960
Binary 11011001000100100000000 (23 bits)
Octal 0o33104400
Hexadecimal 0x6C8900

Divisor Catalog (36)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1,280 5,557 11,114 22,228 27,785 44,456 55,570 88,912 111,140 177,824 222,280 355,648 444,560 711,296 889,120 1,422,592 1,778,240 3,556,480 7,112,960

Collatz Trajectory (147 steps to reach 1)

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

7,112,960 3,556,480 1,778,240 889,120 444,560 222,280 111,140 55,570 27,785 83,356 41,678 20,839 62,518 31,259 93,778 46,889 140,668 70,334 35,167 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255

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