λ
Sequence Observatory

6,677,642

2 × 43 × 77647
Deficient Even Composite

Starting at 6,677,642, the Collatz iteration reaches 1 after 90 steps. The first transition is 3338821; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 77647
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,249,536
Proper Divisor Sum 3,571,894
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6677641 ← → #6677663

Radix Representation

Decimal 6677642
Binary 11001011110010010001010 (23 bits)
Octal 0o31362212
Hexadecimal 0x65E48A

Divisor Catalog (8)

1 2 43 86 77,647 155,294 3,338,821 6,677,642

Collatz Trajectory (90 steps to reach 1)

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

6,677,642 3,338,821 10,016,464 5,008,232 2,504,116 1,252,058 626,029 1,878,088 939,044 469,522 234,761 704,284 352,142 176,071 528,214 264,107 792,322 396,161 1,188,484 594,242 297,121 891,364 445,682 222,841 668,524 334,262 167,131 501,394 250,697 752,092 376,046 188,023 564,070 282,035 846,106 423,053 1,269,160 634,580 317,290 158,645 475,936 237,968 118,984 59,492 29,746 14,873 44,620 22,310 11,155 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060

More profiles

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