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Atlas › Integer Profiles › Node 1,065,168

1,065,168

24 × 32 × 13 × 569
Abundant Even Composite

1,065,168 factors as 2^4 × 3^2 × 13 × 569. Its 60 positive divisors give a proper-divisor sum of 2,150,772, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 3,215,940
Proper Divisor Sum 2,150,772
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1065137 ← → #1065173

Radix Representation

Decimal 1065168
Binary 100000100000011010000 (21 bits)
Octal 0o4040320
Hexadecimal 0x1040D0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 569 624 936 1,138 1,707 1,872 2,276 3,414 4,552 5,121 6,828 7,397 9,104 10,242 13,656 14,794 20,484 22,191 27,312 29,588 40,968 44,382 59,176 66,573 81,936 88,764 118,352 133,146 177,528 266,292 355,056 532,584 1,065,168

Collatz Trajectory (59 steps to reach 1)

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

1,065,168 532,584 266,292 133,146 66,573 199,720 99,860 49,930 24,965 74,896 37,448 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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