λ
Sequence Observatory

7,774,930

2 × 5 × 199 × 3907
Deficient Even Composite

Starting at 7,774,930, the Collatz iteration reaches 1 after 98 steps. The first transition is 3887465; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 199 × 3907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,068,800
Proper Divisor Sum 6,293,870
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7774913 ← → #7774939

Radix Representation

Decimal 7774930
Binary 11101101010001011010010 (23 bits)
Octal 0o35521322
Hexadecimal 0x76A2D2

Divisor Catalog (16)

1 2 5 10 199 398 995 1,990 3,907 7,814 19,535 39,070 777,493 1,554,986 3,887,465 7,774,930

Collatz Trajectory (98 steps to reach 1)

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

7,774,930 3,887,465 11,662,396 5,831,198 2,915,599 8,746,798 4,373,399 13,120,198 6,560,099 19,680,298 9,840,149 29,520,448 14,760,224 7,380,112 3,690,056 1,845,028 922,514 461,257 1,383,772 691,886 345,943 1,037,830 518,915 1,556,746 778,373 2,335,120 1,167,560 583,780 291,890 145,945 437,836 218,918 109,459 328,378 164,189 492,568 246,284 123,142 61,571 184,714 92,357 277,072 138,536 69,268 34,634 17,317 51,952 25,976 12,988 6,494 3,247 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221

More profiles

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