λ
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Atlas › Integer Profiles › Node 9,853,340

9,853,340

22 × 5 × 7 × 70381
Abundant Even Composite

9,853,340 factors as 2^2 × 5 × 7 × 70381. Its 24 positive divisors give a proper-divisor sum of 13,795,012, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 70381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,648,352
Proper Divisor Sum 13,795,012
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9853313 ← → #9853367

Radix Representation

Decimal 9853340
Binary 100101100101100110011100 (24 bits)
Octal 0o45454634
Hexadecimal 0x96599C

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 70,381 140,762 281,524 351,905 492,667 703,810 985,334 1,407,620 1,970,668 2,463,335 4,926,670 9,853,340

Collatz Trajectory (207 steps to reach 1)

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

9,853,340 4,926,670 2,463,335 7,390,006 3,695,003 11,085,010 5,542,505 16,627,516 8,313,758 4,156,879 12,470,638 6,235,319 18,705,958 9,352,979 28,058,938 14,029,469 42,088,408 21,044,204 10,522,102 5,261,051 15,783,154 7,891,577 23,674,732 11,837,366 5,918,683 17,756,050 8,878,025 26,634,076 13,317,038 6,658,519 19,975,558 9,987,779 29,963,338 14,981,669 44,945,008 22,472,504 11,236,252 5,618,126 2,809,063 8,427,190 4,213,595 12,640,786 6,320,393 18,961,180 9,480,590 4,740,295 14,220,886 7,110,443 21,331,330 10,665,665 31,996,996 15,998,498 7,999,249 23,997,748 11,998,874 5,999,437 17,998,312 8,999,156 4,499,578 2,249,789

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