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7,206,840

23 × 33 × 5 × 6673
Abundant Even Composite

7,206,840 factors as 2^3 × 3^3 × 5 × 6673. Its 64 positive divisors give a proper-divisor sum of 16,819,560, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 6673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,026,400
Proper Divisor Sum 16,819,560
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7206821 ← → #7206841

Radix Representation

Decimal 7206840
Binary 11011011111011110111000 (23 bits)
Octal 0o33373670
Hexadecimal 0x6DF7B8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1,080 6,673 13,346 20,019 26,692 33,365 40,038 53,384 60,057 66,730 80,076 100,095 120,114 133,460 160,152 180,171 200,190 240,228 266,920 300,285 360,342 400,380 480,456 600,570 720,684 800,760 900,855 1,201,140 1,441,368

Collatz Trajectory (235 steps to reach 1)

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

7,206,840 3,603,420 1,801,710 900,855 2,702,566 1,351,283 4,053,850 2,026,925 6,080,776 3,040,388 1,520,194 760,097 2,280,292 1,140,146 570,073 1,710,220 855,110 427,555 1,282,666 641,333 1,924,000 962,000 481,000 240,500 120,250 60,125 180,376 90,188 45,094 22,547 67,642 33,821 101,464 50,732 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724

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