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9,706,932

22 × 33 × 172 × 311
Abundant Even Composite

9,706,932 factors as 2^2 × 3^3 × 17^2 × 311. Its 72 positive divisors give a proper-divisor sum of 17,112,588, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17^2 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 26,819,520
Proper Divisor Sum 17,112,588
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9706927 ← → #9706979

Radix Representation

Decimal 9706932
Binary 100101000001110110110100 (24 bits)
Octal 0o45016664
Hexadecimal 0x941DB4

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 311 459 578 612 622 867 918 933 1,156 1,244 1,734 1,836 1,866 2,601 2,799 3,468 3,732 5,202 5,287 5,598 7,803 8,397 10,404 10,574 11,196 15,606 15,861 16,794 21,148 31,212 31,722 33,588 47,583 63,444 89,879 95,166 142,749 179,758 190,332

Collatz Trajectory (101 steps to reach 1)

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

9,706,932 4,853,466 2,426,733 7,280,200 3,640,100 1,820,050 910,025 2,730,076 1,365,038 682,519 2,047,558 1,023,779 3,071,338 1,535,669 4,607,008 2,303,504 1,151,752 575,876 287,938 143,969 431,908 215,954 107,977 323,932 161,966 80,983 242,950 121,475 364,426 182,213 546,640 273,320 136,660 68,330 34,165 102,496 51,248 25,624 12,812 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287

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