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Atlas › Integer Profiles › Node 9,299,488

9,299,488

25 × 11 × 29 × 911
Abundant Even Composite

9,299,488 factors as 2^5 × 11 × 29 × 911. Its 48 positive divisors give a proper-divisor sum of 11,384,672, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 29 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,684,160
Proper Divisor Sum 11,384,672
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #9299483 ← → #9299489

Radix Representation

Decimal 9299488
Binary 100011011110011000100000 (24 bits)
Octal 0o43363040
Hexadecimal 0x8DE620

Divisor Catalog (48)

1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 911 928 1,276 1,822 2,552 3,644 5,104 7,288 10,021 10,208 14,576 20,042 26,419 29,152 40,084 52,838 80,168 105,676 160,336 211,352 290,609 320,672 422,704 581,218 845,408 1,162,436 2,324,872 4,649,744 9,299,488

Collatz Trajectory (194 steps to reach 1)

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

9,299,488 4,649,744 2,324,872 1,162,436 581,218 290,609 871,828 435,914 217,957 653,872 326,936 163,468 81,734 40,867 122,602 61,301 183,904 91,952 45,976 22,988 11,494 5,747 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292

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