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8,092,056

23 × 3 × 73 × 983
Abundant Even Composite

8,092,056 factors as 2^3 × 3 × 7^3 × 983. Its 64 positive divisors give a proper-divisor sum of 15,523,944, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^3 × 983
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,616,000
Proper Divisor Sum 15,523,944
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8092039 ← → #8092069

Radix Representation

Decimal 8092056
Binary 11110110111100110011000 (23 bits)
Octal 0o36674630
Hexadecimal 0x7B7998

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 983 1,029 1,176 1,372 1,966 2,058 2,744 2,949 3,932 4,116 5,898 6,881 7,864 8,232 11,796 13,762 20,643 23,592 27,524 41,286 48,167 55,048 82,572 96,334 144,501 165,144 192,668 289,002 337,169 385,336 578,004 674,338 1,011,507 1,156,008 1,348,676

Collatz Trajectory (199 steps to reach 1)

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

8,092,056 4,046,028 2,023,014 1,011,507 3,034,522 1,517,261 4,551,784 2,275,892 1,137,946 568,973 1,706,920 853,460 426,730 213,365 640,096 320,048 160,024 80,012 40,006 20,003 60,010 30,005 90,016 45,008 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

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