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Atlas › Integer Profiles › Node 8,915,907

8,915,907

3 × 7 × 11 × 13 × 2969
Deficient Odd Composite

8,915,907 factors as 3 × 7 × 11 × 13 × 2969. Its 32 positive divisors give a proper-divisor sum of 7,050,813, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 13 × 2969
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,966,720
Proper Divisor Sum 7,050,813
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8915897 ← → #8915917

Radix Representation

Decimal 8915907
Binary 100010000000101111000011 (24 bits)
Octal 0o42005703
Hexadecimal 0x880BC3

Divisor Catalog (32)

1 3 7 11 13 21 33 39 77 91 143 231 273 429 1,001 2,969 3,003 8,907 20,783 32,659 38,597 62,349 97,977 115,791 228,613 270,179 424,567 685,839 810,537 1,273,701 2,971,969 8,915,907

Collatz Trajectory (194 steps to reach 1)

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

8,915,907 26,747,722 13,373,861 40,121,584 20,060,792 10,030,396 5,015,198 2,507,599 7,522,798 3,761,399 11,284,198 5,642,099 16,926,298 8,463,149 25,389,448 12,694,724 6,347,362 3,173,681 9,521,044 4,760,522 2,380,261 7,140,784 3,570,392 1,785,196 892,598 446,299 1,338,898 669,449 2,008,348 1,004,174 502,087 1,506,262 753,131 2,259,394 1,129,697 3,389,092 1,694,546 847,273 2,541,820 1,270,910 635,455 1,906,366 953,183 2,859,550 1,429,775 4,289,326 2,144,663 6,433,990 3,216,995 9,650,986 4,825,493 14,476,480 7,238,240 3,619,120 1,809,560 904,780 452,390 226,195 678,586 339,293

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