λ
Prime Ledger

1,017,783

32 × 13 × 8699
Deficient Odd Composite

1,017,783 has the prime decomposition 3^2 × 13 × 8699. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 8699
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,583,400
Proper Divisor Sum 565,617
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1017781 ← → #1017787

Radix Representation

Decimal 1017783
Binary 11111000011110110111 (20 bits)
Octal 0o3703667
Hexadecimal 0xF87B7

Divisor Catalog (12)

1 3 9 13 39 117 8,699 26,097 78,291 113,087 339,261 1,017,783

Collatz Trajectory (134 steps to reach 1)

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

1,017,783 3,053,350 1,526,675 4,580,026 2,290,013 6,870,040 3,435,020 1,717,510 858,755 2,576,266 1,288,133 3,864,400 1,932,200 966,100 483,050 241,525 724,576 362,288 181,144 90,572 45,286 22,643 67,930 33,965 101,896 50,948 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752

More profiles

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