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Atlas › Integer Profiles › Node 8,982,015

8,982,015

3 × 5 × 7 × 131 × 653
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 131 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,574,976
Proper Divisor Sum 7,592,961
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8982013 ← → #8982019

Radix Representation

Decimal 8982015
Binary 100010010000110111111111 (24 bits)
Octal 0o42206777
Hexadecimal 0x890DFF

Divisor Catalog (32)

1 3 5 7 15 21 35 105 131 393 653 655 917 1,959 1,965 2,751 3,265 4,571 4,585 9,795 13,713 13,755 22,855 68,565 85,543 256,629 427,715 598,801 1,283,145 1,796,403 2,994,005 8,982,015

Collatz Trajectory (137 steps to reach 1)

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

8,982,015 26,946,046 13,473,023 40,419,070 20,209,535 60,628,606 30,314,303 90,942,910 45,471,455 136,414,366 68,207,183 204,621,550 102,310,775 306,932,326 153,466,163 460,398,490 230,199,245 690,597,736 345,298,868 172,649,434 86,324,717 258,974,152 129,487,076 64,743,538 32,371,769 97,115,308 48,557,654 24,278,827 72,836,482 36,418,241 109,254,724 54,627,362 27,313,681 81,941,044 40,970,522 20,485,261 61,455,784 30,727,892 15,363,946 7,681,973 23,045,920 11,522,960 5,761,480 2,880,740 1,440,370 720,185 2,160,556 1,080,278 540,139 1,620,418 810,209 2,430,628 1,215,314 607,657 1,822,972 911,486 455,743 1,367,230 683,615 2,050,846

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