9,609,129

3² × 41 × 26041

9,609,129 factors as 3^2 × 41 × 26041. Its 12 positive divisors give a proper-divisor sum of 4,609,803, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3^2 × 41 × 26041

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,218,932

Proper Divisor Sum 4,609,803

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9609107 ← → #9609133

Radix Representation

Decimal	9609129
Binary	100100101001111110101001 (24 bits)
Octal	0o44517651
Hexadecimal	0x929FA9

Divisor Catalog (12)

1 3 9 41 123 369 26,041 78,123 234,369 1,067,681 3,203,043 9,609,129

Collatz Trajectory (207 steps to reach 1)

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

9,609,129 28,827,388 14,413,694 7,206,847 21,620,542 10,810,271 32,430,814 16,215,407 48,646,222 24,323,111 72,969,334 36,484,667 109,454,002 54,727,001 164,181,004 82,090,502 41,045,251 123,135,754 61,567,877 184,703,632 92,351,816 46,175,908 23,087,954 11,543,977 34,631,932 17,315,966 8,657,983 25,973,950 12,986,975 38,960,926 19,480,463 58,441,390 29,220,695 87,662,086 43,831,043 131,493,130 65,746,565 197,239,696 98,619,848 49,309,924 24,654,962 12,327,481 36,982,444 18,491,222 9,245,611 27,736,834 13,868,417 41,605,252 20,802,626 10,401,313 31,203,940 15,601,970 7,800,985 23,402,956 11,701,478 5,850,739 17,552,218 8,776,109 26,328,328 13,164,164

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