λ
Sequence Observatory

7,691,994

2 × 32 × 427333
Abundant Even Composite

Starting at 7,691,994, the Collatz iteration reaches 1 after 173 steps. The first transition is 3845997; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 427333
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,666,026
Proper Divisor Sum 8,974,032
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7691977 ← → #7692001

Radix Representation

Decimal 7691994
Binary 11101010101111011011010 (23 bits)
Octal 0o35257332
Hexadecimal 0x755EDA

Divisor Catalog (12)

1 2 3 6 9 18 427,333 854,666 1,281,999 2,563,998 3,845,997 7,691,994

Collatz Trajectory (173 steps to reach 1)

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

7,691,994 3,845,997 11,537,992 5,768,996 2,884,498 1,442,249 4,326,748 2,163,374 1,081,687 3,245,062 1,622,531 4,867,594 2,433,797 7,301,392 3,650,696 1,825,348 912,674 456,337 1,369,012 684,506 342,253 1,026,760 513,380 256,690 128,345 385,036 192,518 96,259 288,778 144,389 433,168 216,584 108,292 54,146 27,073 81,220 40,610 20,305 60,916 30,458 15,229 45,688 22,844 11,422 5,711 17,134 8,567 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134

More profiles

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