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Atlas › Integer Profiles › Node 8,889,232

8,889,232

24 × 11 × 17 × 2971
Abundant Even Composite

8,889,232 factors as 2^4 × 11 × 17 × 2971. Its 40 positive divisors give a proper-divisor sum of 11,011,280, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 17 × 2971
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,900,512
Proper Divisor Sum 11,011,280
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8889229 ← → #8889233

Radix Representation

Decimal 8889232
Binary 100001111010001110010000 (24 bits)
Octal 0o41721620
Hexadecimal 0x87A390

Divisor Catalog (40)

1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1,496 2,971 2,992 5,942 11,884 23,768 32,681 47,536 50,507 65,362 101,014 130,724 202,028 261,448 404,056 522,896 555,577 808,112 1,111,154 2,222,308 4,444,616 8,889,232

Collatz Trajectory (119 steps to reach 1)

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

8,889,232 4,444,616 2,222,308 1,111,154 555,577 1,666,732 833,366 416,683 1,250,050 625,025 1,875,076 937,538 468,769 1,406,308 703,154 351,577 1,054,732 527,366 263,683 791,050 395,525 1,186,576 593,288 296,644 148,322 74,161 222,484 111,242 55,621 166,864 83,432 41,716 20,858 10,429 31,288 15,644 7,822 3,911 11,734 5,867 17,602 8,801 26,404 13,202 6,601 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567

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