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9,850,000

24 × 55 × 197
Abundant Even Composite

9,850,000 factors as 2^4 × 5^5 × 197. Its 60 positive divisors give a proper-divisor sum of 14,125,028, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^4 × 5^5 × 197
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 23,975,028
Proper Divisor Sum 14,125,028
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #9849989 ← → #9850007

Radix Representation

Decimal 9850000
Binary 100101100100110010010000 (24 bits)
Octal 0o45446220
Hexadecimal 0x964C90

Divisor Catalog (60)

1 2 4 5 8 10 16 20 25 40 50 80 100 125 197 200 250 394 400 500 625 788 985 1,000 1,250 1,576 1,970 2,000 2,500 3,125 3,152 3,940 4,925 5,000 6,250 7,880 9,850 10,000 12,500 15,760 19,700 24,625 25,000 39,400 49,250 50,000 78,800 98,500 123,125 197,000 246,250 394,000 492,500 615,625 985,000 1,231,250 1,970,000 2,462,500 4,925,000 9,850,000

Collatz Trajectory (163 steps to reach 1)

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

9,850,000 4,925,000 2,462,500 1,231,250 615,625 1,846,876 923,438 461,719 1,385,158 692,579 2,077,738 1,038,869 3,116,608 1,558,304 779,152 389,576 194,788 97,394 48,697 146,092 73,046 36,523 109,570 54,785 164,356 82,178 41,089 123,268 61,634 30,817 92,452 46,226 23,113 69,340 34,670 17,335 52,006 26,003 78,010 39,005 117,016 58,508 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420

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