9,468,729

3² × 43² × 569

9,468,729 is odd and not a perfect square. Its factorization is 3^2 × 43^2 × 569 and its 18 divisors sum to 14,027,130.

Prime Factor Structure

Factorization String 3^2 × 43^2 × 569

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 14,027,130

Proper Divisor Sum 4,558,401

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9468727 ← → #9468737

Radix Representation

Decimal	9468729
Binary	100100000111101100111001 (24 bits)
Octal	0o44075471
Hexadecimal	0x907B39

Divisor Catalog (18)

1 3 9 43 129 387 569 1,707 1,849 5,121 5,547 16,641 24,467 73,401 220,203 1,052,081 3,156,243 9,468,729

Collatz Trajectory (238 steps to reach 1)

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

9,468,729 28,406,188 14,203,094 7,101,547 21,304,642 10,652,321 31,956,964 15,978,482 7,989,241 23,967,724 11,983,862 5,991,931 17,975,794 8,987,897 26,963,692 13,481,846 6,740,923 20,222,770 10,111,385 30,334,156 15,167,078 7,583,539 22,750,618 11,375,309 34,125,928 17,062,964 8,531,482 4,265,741 12,797,224 6,398,612 3,199,306 1,599,653 4,798,960 2,399,480 1,199,740 599,870 299,935 899,806 449,903 1,349,710 674,855 2,024,566 1,012,283 3,036,850 1,518,425 4,555,276 2,277,638 1,138,819 3,416,458 1,708,229 5,124,688 2,562,344 1,281,172 640,586 320,293 960,880 480,440 240,220 120,110 60,055

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