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Atlas › Integer Profiles › Node 8,683,090

8,683,090

2 × 5 × 13 × 17 × 3929
Abundant Even Composite

8,683,090 factors as 2 × 5 × 13 × 17 × 3929. Its 32 positive divisors give a proper-divisor sum of 9,143,390, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 17 × 3929
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,826,480
Proper Divisor Sum 9,143,390
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8683079 ← → #8683091

Radix Representation

Decimal 8683090
Binary 100001000111111001010010 (24 bits)
Octal 0o41077122
Hexadecimal 0x847E52

Divisor Catalog (32)

1 2 5 10 13 17 26 34 65 85 130 170 221 442 1,105 2,210 3,929 7,858 19,645 39,290 51,077 66,793 102,154 133,586 255,385 333,965 510,770 667,930 868,309 1,736,618 4,341,545 8,683,090

Collatz Trajectory (155 steps to reach 1)

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

8,683,090 4,341,545 13,024,636 6,512,318 3,256,159 9,768,478 4,884,239 14,652,718 7,326,359 21,979,078 10,989,539 32,968,618 16,484,309 49,452,928 24,726,464 12,363,232 6,181,616 3,090,808 1,545,404 772,702 386,351 1,159,054 579,527 1,738,582 869,291 2,607,874 1,303,937 3,911,812 1,955,906 977,953 2,933,860 1,466,930 733,465 2,200,396 1,100,198 550,099 1,650,298 825,149 2,475,448 1,237,724 618,862 309,431 928,294 464,147 1,392,442 696,221 2,088,664 1,044,332 522,166 261,083 783,250 391,625 1,174,876 587,438 293,719 881,158 440,579 1,321,738 660,869 1,982,608

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