1,009,116

2² × 3² × 28031

1,009,116 has the prime decomposition 2^2 × 3^2 × 28031. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 28031

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 2,550,912

Proper Divisor Sum 1,541,796

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1009097 ← → #1009121

Radix Representation

Decimal	1009116
Binary	11110110010111011100 (20 bits)
Octal	0o3662734
Hexadecimal	0xF65DC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 28,031 56,062 84,093 112,124 168,186 252,279 336,372 504,558 1,009,116

Collatz Trajectory (183 steps to reach 1)

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

1,009,116 504,558 252,279 756,838 378,419 1,135,258 567,629 1,702,888 851,444 425,722 212,861 638,584 319,292 159,646 79,823 239,470 119,735 359,206 179,603 538,810 269,405 808,216 404,108 202,054 101,027 303,082 151,541 454,624 227,312 113,656 56,828 28,414 14,207 42,622 21,311 63,934 31,967 95,902 47,951 143,854 71,927 215,782 107,891 323,674 161,837 485,512 242,756 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401

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