6,771,000

2³ × 3 × 5³ × 37 × 61

For 6,771,000, the 128 positive divisors have a total of 22,052,160. Removing 6,771,000 leaves 15,281,160, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^3 × 37 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 22,052,160

Proper Divisor Sum 15,281,160

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6770987 ← → #6771001

Radix Representation

Decimal	6771000
Binary	11001110101000100111000 (23 bits)
Octal	0o31650470
Hexadecimal	0x675138

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 61 74 75 100 111 120 122 125 148 150 183 185 200 222 244 250 296 300 305 366 370 375 444 488 500 555 600 610 732 740 750 888 915 925 1,000 1,110 1,220 1,464 1,480 1,500 1,525 1,830

Collatz Trajectory (108 steps to reach 1)

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

6,771,000 3,385,500 1,692,750 846,375 2,539,126 1,269,563 3,808,690 1,904,345 5,713,036 2,856,518 1,428,259 4,284,778 2,142,389 6,427,168 3,213,584 1,606,792 803,396 401,698 200,849 602,548 301,274 150,637 451,912 225,956 112,978 56,489 169,468 84,734 42,367 127,102 63,551 190,654 95,327 285,982 142,991 428,974 214,487 643,462 321,731 965,194 482,597 1,447,792 723,896 361,948 180,974 90,487 271,462 135,731 407,194 203,597 610,792 305,396 152,698 76,349 229,048 114,524 57,262 28,631 85,894 42,947

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