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9,303,630

2 × 3 × 5 × 72 × 6329
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 6329
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,978,320
Proper Divisor Sum 16,674,690
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9303611 ← → #9303643

Radix Representation

Decimal 9303630
Binary 100011011111011001001110 (24 bits)
Octal 0o43373116
Hexadecimal 0x8DF64E

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1,470 6,329 12,658 18,987 31,645 37,974 44,303 63,290 88,606 94,935 132,909 189,870 221,515 265,818 310,121 443,030 620,242 664,545 930,363 1,329,090 1,550,605 1,860,726 3,101,210 4,651,815 9,303,630

Collatz Trajectory (163 steps to reach 1)

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

9,303,630 4,651,815 13,955,446 6,977,723 20,933,170 10,466,585 31,399,756 15,699,878 7,849,939 23,549,818 11,774,909 35,324,728 17,662,364 8,831,182 4,415,591 13,246,774 6,623,387 19,870,162 9,935,081 29,805,244 14,902,622 7,451,311 22,353,934 11,176,967 33,530,902 16,765,451 50,296,354 25,148,177 75,444,532 37,722,266 18,861,133 56,583,400 28,291,700 14,145,850 7,072,925 21,218,776 10,609,388 5,304,694 2,652,347 7,957,042 3,978,521 11,935,564 5,967,782 2,983,891 8,951,674 4,475,837 13,427,512 6,713,756 3,356,878 1,678,439 5,035,318 2,517,659 7,552,978 3,776,489 11,329,468 5,664,734 2,832,367 8,497,102 4,248,551 12,745,654

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