λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,924,592

9,924,592

24 × 23 × 149 × 181
Abundant Even Composite

9,924,592 factors as 2^4 × 23 × 149 × 181. Its 40 positive divisors give a proper-divisor sum of 10,386,608, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 149 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 20,311,200
Proper Divisor Sum 10,386,608
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9924587 ← → #9924601

Radix Representation

Decimal 9924592
Binary 100101110110111111110000 (24 bits)
Octal 0o45667760
Hexadecimal 0x976FF0

Divisor Catalog (40)

1 2 4 8 16 23 46 92 149 181 184 298 362 368 596 724 1,192 1,448 2,384 2,896 3,427 4,163 6,854 8,326 13,708 16,652 26,969 27,416 33,304 53,938 54,832 66,608 107,876 215,752 431,504 620,287 1,240,574 2,481,148 4,962,296 9,924,592

Collatz Trajectory (145 steps to reach 1)

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

9,924,592 4,962,296 2,481,148 1,240,574 620,287 1,860,862 930,431 2,791,294 1,395,647 4,186,942 2,093,471 6,280,414 3,140,207 9,420,622 4,710,311 14,130,934 7,065,467 21,196,402 10,598,201 31,794,604 15,897,302 7,948,651 23,845,954 11,922,977 35,768,932 17,884,466 8,942,233 26,826,700 13,413,350 6,706,675 20,120,026 10,060,013 30,180,040 15,090,020 7,545,010 3,772,505 11,317,516 5,658,758 2,829,379 8,488,138 4,244,069 12,732,208 6,366,104 3,183,052 1,591,526 795,763 2,387,290 1,193,645 3,580,936 1,790,468 895,234 447,617 1,342,852 671,426 335,713 1,007,140 503,570 251,785 755,356 377,678

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