9,729,025

5² × 389161

9,729,025 has the prime decomposition 5^2 × 389161. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 389161

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 12,064,022

Proper Divisor Sum 2,334,997

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9729017 ← → #9729037

Radix Representation

Decimal	9729025
Binary	100101000111010000000001 (24 bits)
Octal	0o45072001
Hexadecimal	0x947401

Divisor Catalog (6)

1 5 25 389,161 1,945,805 9,729,025

Collatz Trajectory (199 steps to reach 1)

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

9,729,025 29,187,076 14,593,538 7,296,769 21,890,308 10,945,154 5,472,577 16,417,732 8,208,866 4,104,433 12,313,300 6,156,650 3,078,325 9,234,976 4,617,488 2,308,744 1,154,372 577,186 288,593 865,780 432,890 216,445 649,336 324,668 162,334 81,167 243,502 121,751 365,254 182,627 547,882 273,941 821,824 410,912 205,456 102,728 51,364 25,682 12,841 38,524 19,262 9,631 28,894 14,447 43,342 21,671 65,014 32,507 97,522 48,761 146,284 73,142 36,571 109,714 54,857 164,572 82,286 41,143 123,430 61,715

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