9,388,275

3 × 5² × 13 × 9629

9,388,275 has the prime decomposition 3 × 5^2 × 13 × 9629. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 9629

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,717,680

Proper Divisor Sum 7,329,405

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9388273 ← → #9388277

Radix Representation

Decimal	9388275
Binary	100011110100000011110011 (24 bits)
Octal	0o43640363
Hexadecimal	0x8F40F3

Divisor Catalog (24)

1 3 5 13 15 25 39 65 75 195 325 975 9,629 28,887 48,145 125,177 144,435 240,725 375,531 625,885 722,175 1,877,655 3,129,425 9,388,275

Collatz Trajectory (225 steps to reach 1)

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

9,388,275 28,164,826 14,082,413 42,247,240 21,123,620 10,561,810 5,280,905 15,842,716 7,921,358 3,960,679 11,882,038 5,941,019 17,823,058 8,911,529 26,734,588 13,367,294 6,683,647 20,050,942 10,025,471 30,076,414 15,038,207 45,114,622 22,557,311 67,671,934 33,835,967 101,507,902 50,753,951 152,261,854 76,130,927 228,392,782 114,196,391 342,589,174 171,294,587 513,883,762 256,941,881 770,825,644 385,412,822 192,706,411 578,119,234 289,059,617 867,178,852 433,589,426 216,794,713 650,384,140 325,192,070 162,596,035 487,788,106 243,894,053 731,682,160 365,841,080 182,920,540 91,460,270 45,730,135 137,190,406 68,595,203 205,785,610 102,892,805 308,678,416 154,339,208 77,169,604

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