λ
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Atlas › Integer Profiles › Node 8,559,915

8,559,915

3 × 5 × 7 × 13 × 6271
Deficient Odd Composite

8,559,915 factors as 3 × 5 × 7 × 13 × 6271. Its 32 positive divisors give a proper-divisor sum of 8,299,221, so this integer is deficient. The Collatz stopping time is 305 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 6271
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,859,136
Proper Divisor Sum 8,299,221
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8559877 ← → #8559917

Radix Representation

Decimal 8559915
Binary 100000101001110100101011 (24 bits)
Octal 0o40516453
Hexadecimal 0x829D2B

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1,365 6,271 18,813 31,355 43,897 81,523 94,065 131,691 219,485 244,569 407,615 570,661 658,455 1,222,845 1,711,983 2,853,305 8,559,915

Collatz Trajectory (305 steps to reach 1)

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

8,559,915 25,679,746 12,839,873 38,519,620 19,259,810 9,629,905 28,889,716 14,444,858 7,222,429 21,667,288 10,833,644 5,416,822 2,708,411 8,125,234 4,062,617 12,187,852 6,093,926 3,046,963 9,140,890 4,570,445 13,711,336 6,855,668 3,427,834 1,713,917 5,141,752 2,570,876 1,285,438 642,719 1,928,158 964,079 2,892,238 1,446,119 4,338,358 2,169,179 6,507,538 3,253,769 9,761,308 4,880,654 2,440,327 7,320,982 3,660,491 10,981,474 5,490,737 16,472,212 8,236,106 4,118,053 12,354,160 6,177,080 3,088,540 1,544,270 772,135 2,316,406 1,158,203 3,474,610 1,737,305 5,211,916 2,605,958 1,302,979 3,908,938 1,954,469

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