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909,909

32 × 7 × 11 × 13 × 101
Deficient Odd Composite

909,909 factors as 3^2 × 7 × 11 × 13 × 101. Its 48 positive divisors give a proper-divisor sum of 872,235, so this integer is deficient. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 13 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,782,144
Proper Divisor Sum 872,235
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #909907 ← → #909911

Radix Representation

Decimal 909909
Binary 11011110001001010101 (20 bits)
Octal 0o3361125
Hexadecimal 0xDE255

Divisor Catalog (48)

1 3 7 9 11 13 21 33 39 63 77 91 99 101 117 143 231 273 303 429 693 707 819 909 1,001 1,111 1,287 1,313 2,121 3,003 3,333 3,939 6,363 7,777 9,009 9,191 9,999 11,817 14,443 23,331 27,573 43,329 69,993 82,719 101,101 129,987 303,303 909,909

Collatz Trajectory (64 steps to reach 1)

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

909,909 2,729,728 1,364,864 682,432 341,216 170,608 85,304 42,652 21,326 10,663 31,990 15,995 47,986 23,993 71,980 35,990 17,995 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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