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Atlas › Integer Profiles › Node 8,940,915

8,940,915

33 × 5 × 103 × 643
Deficient Odd Composite

8,940,915 factors as 3^3 × 5 × 103 × 643. Its 32 positive divisors give a proper-divisor sum of 7,133,325, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 103 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,074,240
Proper Divisor Sum 7,133,325
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8940913 ← → #8940917

Radix Representation

Decimal 8940915
Binary 100010000110110101110011 (24 bits)
Octal 0o42066563
Hexadecimal 0x886D73

Divisor Catalog (32)

1 3 5 9 15 27 45 103 135 309 515 643 927 1,545 1,929 2,781 3,215 4,635 5,787 9,645 13,905 17,361 28,935 66,229 86,805 198,687 331,145 596,061 993,435 1,788,183 2,980,305 8,940,915

Collatz Trajectory (163 steps to reach 1)

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

8,940,915 26,822,746 13,411,373 40,234,120 20,117,060 10,058,530 5,029,265 15,087,796 7,543,898 3,771,949 11,315,848 5,657,924 2,828,962 1,414,481 4,243,444 2,121,722 1,060,861 3,182,584 1,591,292 795,646 397,823 1,193,470 596,735 1,790,206 895,103 2,685,310 1,342,655 4,027,966 2,013,983 6,041,950 3,020,975 9,062,926 4,531,463 13,594,390 6,797,195 20,391,586 10,195,793 30,587,380 15,293,690 7,646,845 22,940,536 11,470,268 5,735,134 2,867,567 8,602,702 4,301,351 12,904,054 6,452,027 19,356,082 9,678,041 29,034,124 14,517,062 7,258,531 21,775,594 10,887,797 32,663,392 16,331,696 8,165,848 4,082,924 2,041,462

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