λ
Sequence Observatory

6,675,916

22 × 13 × 19 × 29 × 233
Abundant Even Composite

Starting at 6,675,916, the Collatz iteration reaches 1 after 85 steps. The first transition is 3337958; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 29 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,759,200
Proper Divisor Sum 7,083,284
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6675913 ← → #6675919

Radix Representation

Decimal 6675916
Binary 11001011101110111001100 (23 bits)
Octal 0o31356714
Hexadecimal 0x65DDCC

Divisor Catalog (48)

1 2 4 13 19 26 29 38 52 58 76 116 233 247 377 466 494 551 754 932 988 1,102 1,508 2,204 3,029 4,427 6,058 6,757 7,163 8,854 12,116 13,514 14,326 17,708 27,028 28,652 57,551 87,841 115,102 128,383 175,682 230,204 256,766 351,364 513,532 1,668,979 3,337,958 6,675,916

Collatz Trajectory (85 steps to reach 1)

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

6,675,916 3,337,958 1,668,979 5,006,938 2,503,469 7,510,408 3,755,204 1,877,602 938,801 2,816,404 1,408,202 704,101 2,112,304 1,056,152 528,076 264,038 132,019 396,058 198,029 594,088 297,044 148,522 74,261 222,784 111,392 55,696 27,848 13,924 6,962 3,481 10,444 5,222 2,611 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197

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