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9,673,308

22 × 32 × 167 × 1609
Abundant Even Composite

9,673,308 factors as 2^2 × 3^2 × 167 × 1609. Its 36 positive divisors give a proper-divisor sum of 14,940,372, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 167 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 24,613,680
Proper Divisor Sum 14,940,372
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9673273 ← → #9673343

Radix Representation

Decimal 9673308
Binary 100100111001101001011100 (24 bits)
Octal 0o44715134
Hexadecimal 0x939A5C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 167 334 501 668 1,002 1,503 1,609 2,004 3,006 3,218 4,827 6,012 6,436 9,654 14,481 19,308 28,962 57,924 268,703 537,406 806,109 1,074,812 1,612,218 2,418,327 3,224,436 4,836,654 9,673,308

Collatz Trajectory (145 steps to reach 1)

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

9,673,308 4,836,654 2,418,327 7,254,982 3,627,491 10,882,474 5,441,237 16,323,712 8,161,856 4,080,928 2,040,464 1,020,232 510,116 255,058 127,529 382,588 191,294 95,647 286,942 143,471 430,414 215,207 645,622 322,811 968,434 484,217 1,452,652 726,326 363,163 1,089,490 544,745 1,634,236 817,118 408,559 1,225,678 612,839 1,838,518 919,259 2,757,778 1,378,889 4,136,668 2,068,334 1,034,167 3,102,502 1,551,251 4,653,754 2,326,877 6,980,632 3,490,316 1,745,158 872,579 2,617,738 1,308,869 3,926,608 1,963,304 981,652 490,826 245,413 736,240 368,120

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