λ
Sigma Notebook

9,005,703

3 × 7 × 428843
Deficient Odd Composite

9,005,703 is odd and not a perfect square. Its factorization is 3 × 7 × 428843 and its 8 divisors sum to 13,723,008.

Prime Factor Structure

Factorization String 3 × 7 × 428843
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,723,008
Proper Divisor Sum 4,717,305
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9005693 ← → #9005713

Radix Representation

Decimal 9005703
Binary 100010010110101010000111 (24 bits)
Octal 0o42265207
Hexadecimal 0x896A87

Divisor Catalog (8)

1 3 7 21 428,843 1,286,529 3,001,901 9,005,703

Collatz Trajectory (88 steps to reach 1)

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

9,005,703 27,017,110 13,508,555 40,525,666 20,262,833 60,788,500 30,394,250 15,197,125 45,591,376 22,795,688 11,397,844 5,698,922 2,849,461 8,548,384 4,274,192 2,137,096 1,068,548 534,274 267,137 801,412 400,706 200,353 601,060 300,530 150,265 450,796 225,398 112,699 338,098 169,049 507,148 253,574 126,787 380,362 190,181 570,544 285,272 142,636 71,318 35,659 106,978 53,489 160,468 80,234 40,117 120,352 60,176 30,088 15,044 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588

More profiles

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