30,006,795

3 × 5 × 7 × 13² × 19 × 89

30,006,795 factors as 3 × 5 × 7 × 13^2 × 19 × 89. Its 96 positive divisors give a proper-divisor sum of 33,238,005, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13^2 × 19 × 89

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 63,244,800

Proper Divisor Sum 33,238,005

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #30006763 ← → #30006827

Radix Representation

Decimal	30006795
Binary	1110010011101111000001011 (25 bits)
Octal	0o162357013
Hexadecimal	0x1C9DE0B

Divisor Catalog (60 of 96)

1 3 5 7 13 15 19 21 35 39 57 65 89 91 95 105 133 169 195 247 267 273 285 399 445 455 507 623 665 741 845 1,157 1,183 1,235 1,335 1,365 1,691 1,729 1,869 1,995 2,535 3,115 3,211 3,471 3,549 3,705 5,073 5,187 5,785 5,915 8,099 8,455 8,645 9,345 9,633 11,837 15,041 16,055 17,355 17,745

Collatz Trajectory (224 steps to reach 1)

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

30,006,795 90,020,386 45,010,193 135,030,580 67,515,290 33,757,645 101,272,936 50,636,468 25,318,234 12,659,117 37,977,352 18,988,676 9,494,338 4,747,169 14,241,508 7,120,754 3,560,377 10,681,132 5,340,566 2,670,283 8,010,850 4,005,425 12,016,276 6,008,138 3,004,069 9,012,208 4,506,104 2,253,052 1,126,526 563,263 1,689,790 844,895 2,534,686 1,267,343 3,802,030 1,901,015 5,703,046 2,851,523 8,554,570 4,277,285 12,831,856 6,415,928 3,207,964 1,603,982 801,991 2,405,974 1,202,987 3,608,962 1,804,481 5,413,444 2,706,722 1,353,361 4,060,084 2,030,042 1,015,021 3,045,064 1,522,532 761,266 380,633 1,141,900

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