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Atlas › Integer Profiles › Node 9,011,985

9,011,985

3 × 5 × 19 × 103 × 307
Deficient Odd Composite

9,011,985 factors as 3 × 5 × 19 × 103 × 307. Its 32 positive divisors give a proper-divisor sum of 6,363,375, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 103 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,375,360
Proper Divisor Sum 6,363,375
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9011939 ← → #9011987

Radix Representation

Decimal 9011985
Binary 100010011000001100010001 (24 bits)
Octal 0o42301421
Hexadecimal 0x898311

Divisor Catalog (32)

1 3 5 15 19 57 95 103 285 307 309 515 921 1,535 1,545 1,957 4,605 5,833 5,871 9,785 17,499 29,165 29,355 31,621 87,495 94,863 158,105 474,315 600,799 1,802,397 3,003,995 9,011,985

Collatz Trajectory (88 steps to reach 1)

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

9,011,985 27,035,956 13,517,978 6,758,989 20,276,968 10,138,484 5,069,242 2,534,621 7,603,864 3,801,932 1,900,966 950,483 2,851,450 1,425,725 4,277,176 2,138,588 1,069,294 534,647 1,603,942 801,971 2,405,914 1,202,957 3,608,872 1,804,436 902,218 451,109 1,353,328 676,664 338,332 169,166 84,583 253,750 126,875 380,626 190,313 570,940 285,470 142,735 428,206 214,103 642,310 321,155 963,466 481,733 1,445,200 722,600 361,300 180,650 90,325 270,976 135,488 67,744 33,872 16,936 8,468 4,234 2,117 6,352 3,176 1,588

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