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8,938,875

3 × 53 × 112 × 197
Deficient Odd Composite

8,938,875 factors as 3 × 5^3 × 11^2 × 197. Its 48 positive divisors give a proper-divisor sum of 7,493,541, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3 × 5^3 × 11^2 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,432,416
Proper Divisor Sum 7,493,541
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8938871 ← → #8938901

Radix Representation

Decimal 8938875
Binary 100010000110010101111011 (24 bits)
Octal 0o42062573
Hexadecimal 0x88657B

Divisor Catalog (48)

1 3 5 11 15 25 33 55 75 121 125 165 197 275 363 375 591 605 825 985 1,375 1,815 2,167 2,955 3,025 4,125 4,925 6,501 9,075 10,835 14,775 15,125 23,837 24,625 32,505 45,375 54,175 71,511 73,875 119,185 162,525 270,875 357,555 595,925 812,625 1,787,775 2,979,625 8,938,875

Collatz Trajectory (137 steps to reach 1)

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

8,938,875 26,816,626 13,408,313 40,224,940 20,112,470 10,056,235 30,168,706 15,084,353 45,253,060 22,626,530 11,313,265 33,939,796 16,969,898 8,484,949 25,454,848 12,727,424 6,363,712 3,181,856 1,590,928 795,464 397,732 198,866 99,433 298,300 149,150 74,575 223,726 111,863 335,590 167,795 503,386 251,693 755,080 377,540 188,770 94,385 283,156 141,578 70,789 212,368 106,184 53,092 26,546 13,273 39,820 19,910 9,955 29,866 14,933 44,800 22,400 11,200 5,600 2,800 1,400 700 350 175 526 263

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