λ
Sequence Observatory

6,683,604

22 × 3 × 556967
Abundant Even Composite

Starting at 6,683,604, the Collatz iteration reaches 1 after 209 steps. The first transition is 3341802; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 556967
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,595,104
Proper Divisor Sum 8,911,500
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6683581 ← → #6683609

Radix Representation

Decimal 6683604
Binary 11001011111101111010100 (23 bits)
Octal 0o31375724
Hexadecimal 0x65FBD4

Divisor Catalog (12)

1 2 3 4 6 12 556,967 1,113,934 1,670,901 2,227,868 3,341,802 6,683,604

Collatz Trajectory (209 steps to reach 1)

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

6,683,604 3,341,802 1,670,901 5,012,704 2,506,352 1,253,176 626,588 313,294 156,647 469,942 234,971 704,914 352,457 1,057,372 528,686 264,343 793,030 396,515 1,189,546 594,773 1,784,320 892,160 446,080 223,040 111,520 55,760 27,880 13,940 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443

More profiles

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