λ
Prime Ledger

6,790,768

24 × 424423
Deficient Even Composite

6,790,768 has the prime decomposition 2^4 × 424423. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 424423
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 13,157,144
Proper Divisor Sum 6,366,376
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6790759 ← → #6790793

Radix Representation

Decimal 6790768
Binary 11001111001111001110000 (23 bits)
Octal 0o31717160
Hexadecimal 0x679E70

Divisor Catalog (10)

1 2 4 8 16 424,423 848,846 1,697,692 3,395,384 6,790,768

Collatz Trajectory (134 steps to reach 1)

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

6,790,768 3,395,384 1,697,692 848,846 424,423 1,273,270 636,635 1,909,906 954,953 2,864,860 1,432,430 716,215 2,148,646 1,074,323 3,222,970 1,611,485 4,834,456 2,417,228 1,208,614 604,307 1,812,922 906,461 2,719,384 1,359,692 679,846 339,923 1,019,770 509,885 1,529,656 764,828 382,414 191,207 573,622 286,811 860,434 430,217 1,290,652 645,326 322,663 967,990 483,995 1,451,986 725,993 2,177,980 1,088,990 544,495 1,633,486 816,743 2,450,230 1,225,115 3,675,346 1,837,673 5,513,020 2,756,510 1,378,255 4,134,766 2,067,383 6,202,150 3,101,075 9,303,226

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