6,764,505

3 × 5 × 11² × 3727

6,764,505 has digital root 6. The neighboring primes are 6764503 and 6764531; its proper-divisor sum differs from the starting integer by -1,629,234.

Prime Factor Structure

Factorization String 3 × 5 × 11^2 × 3727

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,899,776

Proper Divisor Sum 5,135,271

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6764503 ← → #6764531

Radix Representation

Decimal	6764505
Binary	11001110011011111011001 (23 bits)
Octal	0o31633731
Hexadecimal	0x6737D9

Divisor Catalog (24)

1 3 5 11 15 33 55 121 165 363 605 1,815 3,727 11,181 18,635 40,997 55,905 122,991 204,985 450,967 614,955 1,352,901 2,254,835 6,764,505

Collatz Trajectory (134 steps to reach 1)

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

6,764,505 20,293,516 10,146,758 5,073,379 15,220,138 7,610,069 22,830,208 11,415,104 5,707,552 2,853,776 1,426,888 713,444 356,722 178,361 535,084 267,542 133,771 401,314 200,657 601,972 300,986 150,493 451,480 225,740 112,870 56,435 169,306 84,653 253,960 126,980 63,490 31,745 95,236 47,618 23,809 71,428 35,714 17,857 53,572 26,786 13,393 40,180 20,090 10,045 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154

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