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Atlas › Integer Profiles › Node 9,861,330

9,861,330

2 × 3 × 5 × 191 × 1721
Abundant Even Composite

9,861,330 factors as 2 × 3 × 5 × 191 × 1721. Its 32 positive divisors give a proper-divisor sum of 13,943,598, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 191 × 1721
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,804,928
Proper Divisor Sum 13,943,598
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9861307 ← → #9861349

Radix Representation

Decimal 9861330
Binary 100101100111100011010010 (24 bits)
Octal 0o45474322
Hexadecimal 0x9678D2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 191 382 573 955 1,146 1,721 1,910 2,865 3,442 5,163 5,730 8,605 10,326 17,210 25,815 51,630 328,711 657,422 986,133 1,643,555 1,972,266 3,287,110 4,930,665 9,861,330

Collatz Trajectory (220 steps to reach 1)

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

9,861,330 4,930,665 14,791,996 7,395,998 3,697,999 11,093,998 5,546,999 16,640,998 8,320,499 24,961,498 12,480,749 37,442,248 18,721,124 9,360,562 4,680,281 14,040,844 7,020,422 3,510,211 10,530,634 5,265,317 15,795,952 7,897,976 3,948,988 1,974,494 987,247 2,961,742 1,480,871 4,442,614 2,221,307 6,663,922 3,331,961 9,995,884 4,997,942 2,498,971 7,496,914 3,748,457 11,245,372 5,622,686 2,811,343 8,434,030 4,217,015 12,651,046 6,325,523 18,976,570 9,488,285 28,464,856 14,232,428 7,116,214 3,558,107 10,674,322 5,337,161 16,011,484 8,005,742 4,002,871 12,008,614 6,004,307 18,012,922 9,006,461 27,019,384 13,509,692

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