9,729,603

3² × 13 × 137 × 607

9,729,603 has the prime decomposition 3^2 × 13 × 137 × 607. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 137 × 607

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,270,528

Proper Divisor Sum 5,540,925

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9729571 ← → #9729613

Radix Representation

Decimal	9729603
Binary	100101000111011001000011 (24 bits)
Octal	0o45073103
Hexadecimal	0x947643

Divisor Catalog (24)

1 3 9 13 39 117 137 411 607 1,233 1,781 1,821 5,343 5,463 7,891 16,029 23,673 71,019 83,159 249,477 748,431 1,081,067 3,243,201 9,729,603

Collatz Trajectory (199 steps to reach 1)

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

9,729,603 29,188,810 14,594,405 43,783,216 21,891,608 10,945,804 5,472,902 2,736,451 8,209,354 4,104,677 12,314,032 6,157,016 3,078,508 1,539,254 769,627 2,308,882 1,154,441 3,463,324 1,731,662 865,831 2,597,494 1,298,747 3,896,242 1,948,121 5,844,364 2,922,182 1,461,091 4,383,274 2,191,637 6,574,912 3,287,456 1,643,728 821,864 410,932 205,466 102,733 308,200 154,100 77,050 38,525 115,576 57,788 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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