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Atlas › Integer Profiles › Node 9,703,902

9,703,902

2 × 3 × 13 × 47 × 2647
Abundant Even Composite

9,703,902 factors as 2 × 3 × 13 × 47 × 2647. Its 32 positive divisors give a proper-divisor sum of 11,649,570, so this integer is abundant. The Collatz stopping time is 313 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 47 × 2647
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,353,472
Proper Divisor Sum 11,649,570
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9703901 ← → #9703913

Radix Representation

Decimal 9703902
Binary 100101000001000111011110 (24 bits)
Octal 0o45010736
Hexadecimal 0x9411DE

Divisor Catalog (32)

1 2 3 6 13 26 39 47 78 94 141 282 611 1,222 1,833 2,647 3,666 5,294 7,941 15,882 34,411 68,822 103,233 124,409 206,466 248,818 373,227 746,454 1,617,317 3,234,634 4,851,951 9,703,902

Collatz Trajectory (313 steps to reach 1)

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

9,703,902 4,851,951 14,555,854 7,277,927 21,833,782 10,916,891 32,750,674 16,375,337 49,126,012 24,563,006 12,281,503 36,844,510 18,422,255 55,266,766 27,633,383 82,900,150 41,450,075 124,350,226 62,175,113 186,525,340 93,262,670 46,631,335 139,894,006 69,947,003 209,841,010 104,920,505 314,761,516 157,380,758 78,690,379 236,071,138 118,035,569 354,106,708 177,053,354 88,526,677 265,580,032 132,790,016 66,395,008 33,197,504 16,598,752 8,299,376 4,149,688 2,074,844 1,037,422 518,711 1,556,134 778,067 2,334,202 1,167,101 3,501,304 1,750,652 875,326 437,663 1,312,990 656,495 1,969,486 984,743 2,954,230 1,477,115 4,431,346 2,215,673

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