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Atlas › Integer Profiles › Node 8,994,015

8,994,015

32 × 5 × 269 × 743
Deficient Odd Composite

8,994,015 factors as 3^2 × 5 × 269 × 743. Its 24 positive divisors give a proper-divisor sum of 6,674,625, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 269 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,668,640
Proper Divisor Sum 6,674,625
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8993981 ← → #8994017

Radix Representation

Decimal 8994015
Binary 100010010011110011011111 (24 bits)
Octal 0o42236337
Hexadecimal 0x893CDF

Divisor Catalog (24)

1 3 5 9 15 45 269 743 807 1,345 2,229 2,421 3,715 4,035 6,687 11,145 12,105 33,435 199,867 599,601 999,335 1,798,803 2,998,005 8,994,015

Collatz Trajectory (111 steps to reach 1)

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

8,994,015 26,982,046 13,491,023 40,473,070 20,236,535 60,709,606 30,354,803 91,064,410 45,532,205 136,596,616 68,298,308 34,149,154 17,074,577 51,223,732 25,611,866 12,805,933 38,417,800 19,208,900 9,604,450 4,802,225 14,406,676 7,203,338 3,601,669 10,805,008 5,402,504 2,701,252 1,350,626 675,313 2,025,940 1,012,970 506,485 1,519,456 759,728 379,864 189,932 94,966 47,483 142,450 71,225 213,676 106,838 53,419 160,258 80,129 240,388 120,194 60,097 180,292 90,146 45,073 135,220 67,610 33,805 101,416 50,708 25,354 12,677 38,032 19,016 9,508

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