8,207,112

2³ × 3 × 341963

8,207,112 has the prime decomposition 2^3 × 3 × 341963. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 341963

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,517,840

Proper Divisor Sum 12,310,728

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8207071 ← → #8207117

Radix Representation

Decimal	8207112
Binary	11111010011101100001000 (23 bits)
Octal	0o37235410
Hexadecimal	0x7D3B08

Divisor Catalog (16)

1 2 3 4 6 8 12 24 341,963 683,926 1,025,889 1,367,852 2,051,778 2,735,704 4,103,556 8,207,112

Collatz Trajectory (137 steps to reach 1)

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

8,207,112 4,103,556 2,051,778 1,025,889 3,077,668 1,538,834 769,417 2,308,252 1,154,126 577,063 1,731,190 865,595 2,596,786 1,298,393 3,895,180 1,947,590 973,795 2,921,386 1,460,693 4,382,080 2,191,040 1,095,520 547,760 273,880 136,940 68,470 34,235 102,706 51,353 154,060 77,030 38,515 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677

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