7,188,986

2 × 7² × 109 × 673

Starting at 7,188,986, the Collatz iteration reaches 1 after 147 steps. The first transition is 3594493; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 109 × 673

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,677,940

Proper Divisor Sum 5,488,954

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #7188953 ← → #7188991

Radix Representation

Decimal	7188986
Binary	11011011011000111111010 (23 bits)
Octal	0o33330772
Hexadecimal	0x6DB1FA

Divisor Catalog (24)

1 2 7 14 49 98 109 218 673 763 1,346 1,526 4,711 5,341 9,422 10,682 32,977 65,954 73,357 146,714 513,499 1,026,998 3,594,493 7,188,986

Collatz Trajectory (147 steps to reach 1)

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

7,188,986 3,594,493 10,783,480 5,391,740 2,695,870 1,347,935 4,043,806 2,021,903 6,065,710 3,032,855 9,098,566 4,549,283 13,647,850 6,823,925 20,471,776 10,235,888 5,117,944 2,558,972 1,279,486 639,743 1,919,230 959,615 2,878,846 1,439,423 4,318,270 2,159,135 6,477,406 3,238,703 9,716,110 4,858,055 14,574,166 7,287,083 21,861,250 10,930,625 32,791,876 16,395,938 8,197,969 24,593,908 12,296,954 6,148,477 18,445,432 9,222,716 4,611,358 2,305,679 6,917,038 3,458,519 10,375,558 5,187,779 15,563,338 7,781,669 23,345,008 11,672,504 5,836,252 2,918,126 1,459,063 4,377,190 2,188,595 6,565,786 3,282,893 9,848,680

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