λ
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Atlas › Integer Profiles › Node 9,529,338

9,529,338

2 × 3 × 7 × 13 × 31 × 563
Abundant Even Composite

9,529,338 factors as 2 × 3 × 7 × 13 × 31 × 563. Its 64 positive divisors give a proper-divisor sum of 14,727,174, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 31 × 563
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,256,512
Proper Divisor Sum 14,727,174
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9529327 ← → #9529361

Radix Representation

Decimal 9529338
Binary 100100010110011111111010 (24 bits)
Octal 0o44263772
Hexadecimal 0x9167FA

Divisor Catalog (60 of 64)

1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 563 651 806 1,126 1,209 1,302 1,689 2,418 2,821 3,378 3,941 5,642 7,319 7,882 8,463 11,823 14,638 16,926 17,453 21,957 23,646 34,906 43,914 51,233 52,359 102,466 104,718 122,171 153,699 226,889 244,342 307,398 366,513 453,778 680,667 733,026 1,361,334

Collatz Trajectory (176 steps to reach 1)

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

9,529,338 4,764,669 14,294,008 7,147,004 3,573,502 1,786,751 5,360,254 2,680,127 8,040,382 4,020,191 12,060,574 6,030,287 18,090,862 9,045,431 27,136,294 13,568,147 40,704,442 20,352,221 61,056,664 30,528,332 15,264,166 7,632,083 22,896,250 11,448,125 34,344,376 17,172,188 8,586,094 4,293,047 12,879,142 6,439,571 19,318,714 9,659,357 28,978,072 14,489,036 7,244,518 3,622,259 10,866,778 5,433,389 16,300,168 8,150,084 4,075,042 2,037,521 6,112,564 3,056,282 1,528,141 4,584,424 2,292,212 1,146,106 573,053 1,719,160 859,580 429,790 214,895 644,686 322,343 967,030 483,515 1,450,546 725,273 2,175,820

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