λ
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Atlas › Integer Profiles › Node 8,335,332

8,335,332

22 × 33 × 113 × 683
Abundant Even Composite

8,335,332 factors as 2^2 × 3^3 × 113 × 683. Its 48 positive divisors give a proper-divisor sum of 13,497,948, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 113 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,833,280
Proper Divisor Sum 13,497,948
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8335297 ← → #8335337

Radix Representation

Decimal 8335332
Binary 11111110010111111100100 (23 bits)
Octal 0o37627744
Hexadecimal 0x7F2FE4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 683 1,017 1,356 1,366 2,034 2,049 2,732 3,051 4,068 4,098 6,102 6,147 8,196 12,204 12,294 18,441 24,588 36,882 73,764 77,179 154,358 231,537 308,716 463,074 694,611 926,148 1,389,222 2,083,833 2,778,444 4,167,666 8,335,332

Collatz Trajectory (137 steps to reach 1)

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

8,335,332 4,167,666 2,083,833 6,251,500 3,125,750 1,562,875 4,688,626 2,344,313 7,032,940 3,516,470 1,758,235 5,274,706 2,637,353 7,912,060 3,956,030 1,978,015 5,934,046 2,967,023 8,901,070 4,450,535 13,351,606 6,675,803 20,027,410 10,013,705 30,041,116 15,020,558 7,510,279 22,530,838 11,265,419 33,796,258 16,898,129 50,694,388 25,347,194 12,673,597 38,020,792 19,010,396 9,505,198 4,752,599 14,257,798 7,128,899 21,386,698 10,693,349 32,080,048 16,040,024 8,020,012 4,010,006 2,005,003 6,015,010 3,007,505 9,022,516 4,511,258 2,255,629 6,766,888 3,383,444 1,691,722 845,861 2,537,584 1,268,792 634,396 317,198

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