λ
Prime Ledger

6,765,656

23 × 41 × 20627
Deficient Even Composite

6,765,656 has the prime decomposition 2^3 × 41 × 20627. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 41 × 20627
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,995,640
Proper Divisor Sum 6,229,984
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6765631 ← → #6765673

Radix Representation

Decimal 6765656
Binary 11001110011110001011000 (23 bits)
Octal 0o31636130
Hexadecimal 0x673C58

Divisor Catalog (16)

1 2 4 8 41 82 164 328 20,627 41,254 82,508 165,016 845,707 1,691,414 3,382,828 6,765,656

Collatz Trajectory (85 steps to reach 1)

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

6,765,656 3,382,828 1,691,414 845,707 2,537,122 1,268,561 3,805,684 1,902,842 951,421 2,854,264 1,427,132 713,566 356,783 1,070,350 535,175 1,605,526 802,763 2,408,290 1,204,145 3,612,436 1,806,218 903,109 2,709,328 1,354,664 677,332 338,666 169,333 508,000 254,000 127,000 63,500 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202

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