6,774,921

3⁴ × 83641

Starting at 6,774,921, the Collatz iteration reaches 1 after 160 steps. The first transition is 20324764; the starting value is odd with 10 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 83641

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 10,120,682

Proper Divisor Sum 3,345,761

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6774899 ← → #6774931

Radix Representation

Decimal	6774921
Binary	11001110110000010001001 (23 bits)
Octal	0o31660211
Hexadecimal	0x676089

Divisor Catalog (10)

1 3 9 27 81 83,641 250,923 752,769 2,258,307 6,774,921

Collatz Trajectory (160 steps to reach 1)

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

6,774,921 20,324,764 10,162,382 5,081,191 15,243,574 7,621,787 22,865,362 11,432,681 34,298,044 17,149,022 8,574,511 25,723,534 12,861,767 38,585,302 19,292,651 57,877,954 28,938,977 86,816,932 43,408,466 21,704,233 65,112,700 32,556,350 16,278,175 48,834,526 24,417,263 73,251,790 36,625,895 109,877,686 54,938,843 164,816,530 82,408,265 247,224,796 123,612,398 61,806,199 185,418,598 92,709,299 278,127,898 139,063,949 417,191,848 208,595,924 104,297,962 52,148,981 156,446,944 78,223,472 39,111,736 19,555,868 9,777,934 4,888,967 14,666,902 7,333,451 22,000,354 11,000,177 33,000,532 16,500,266 8,250,133 24,750,400 12,375,200 6,187,600 3,093,800 1,546,900

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