λ
Ratio Atlas

6,807,765

3 × 5 × 453851
Deficient Odd Composite

6,807,765 factors as 3 × 5 × 453851. Its 8 positive divisors give a proper-divisor sum of 4,084,683, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 3 × 5 × 453851
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,892,448
Proper Divisor Sum 4,084,683
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6807739 ← → #6807767

Radix Representation

Decimal 6807765
Binary 11001111110000011010101 (23 bits)
Octal 0o31760325
Hexadecimal 0x67E0D5

Divisor Catalog (8)

1 3 5 15 453,851 1,361,553 2,269,255 6,807,765

Collatz Trajectory (129 steps to reach 1)

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

6,807,765 20,423,296 10,211,648 5,105,824 2,552,912 1,276,456 638,228 319,114 159,557 478,672 239,336 119,668 59,834 29,917 89,752 44,876 22,438 11,219 33,658 16,829 50,488 25,244 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193

More profiles

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