9,105,075

3³ × 5² × 7 × 41 × 47

9,105,075 factors as 3^3 × 5^2 × 7 × 41 × 47. Its 96 positive divisors give a proper-divisor sum of 10,893,645, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 7 × 41 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 19,998,720

Proper Divisor Sum 10,893,645

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9105053 ← → #9105077

Radix Representation

Decimal	9105075
Binary	100010101110111010110011 (24 bits)
Octal	0o42567263
Hexadecimal	0x8AEEB3

Divisor Catalog (60 of 96)

1 3 5 7 9 15 21 25 27 35 41 45 47 63 75 105 123 135 141 175 189 205 225 235 287 315 329 369 423 525 615 675 705 861 945 987 1,025 1,107 1,175 1,269 1,435 1,575 1,645 1,845 1,927 2,115 2,583 2,961 3,075 3,525 4,305 4,725 4,935 5,535 5,781 6,345 7,175 7,749 8,225 8,883

Collatz Trajectory (181 steps to reach 1)

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

9,105,075 27,315,226 13,657,613 40,972,840 20,486,420 10,243,210 5,121,605 15,364,816 7,682,408 3,841,204 1,920,602 960,301 2,880,904 1,440,452 720,226 360,113 1,080,340 540,170 270,085 810,256 405,128 202,564 101,282 50,641 151,924 75,962 37,981 113,944 56,972 28,486 14,243 42,730 21,365 64,096 32,048 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638

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