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Atlas › Integer Profiles › Node 9,529,336

9,529,336

23 × 19 × 71 × 883
Abundant Even Composite

9,529,336 factors as 2^3 × 19 × 71 × 883. Its 32 positive divisors give a proper-divisor sum of 9,565,064, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 71 × 883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,094,400
Proper Divisor Sum 9,565,064
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9529327 ← → #9529361

Radix Representation

Decimal 9529336
Binary 100100010110011111111000 (24 bits)
Octal 0o44263770
Hexadecimal 0x9167F8

Divisor Catalog (32)

1 2 4 8 19 38 71 76 142 152 284 568 883 1,349 1,766 2,698 3,532 5,396 7,064 10,792 16,777 33,554 62,693 67,108 125,386 134,216 250,772 501,544 1,191,167 2,382,334 4,764,668 9,529,336

Collatz Trajectory (176 steps to reach 1)

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

9,529,336 4,764,668 2,382,334 1,191,167 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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