6,077,406

2 × 3 × 293 × 3457

Starting at 6,077,406, the Collatz iteration reaches 1 after 196 steps. The first transition is 3038703; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 293 × 3457

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,199,824

Proper Divisor Sum 6,122,418

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6077371 ← → #6077411

Radix Representation

Decimal	6077406
Binary	10111001011101111011110 (23 bits)
Octal	0o27135736
Hexadecimal	0x5CBBDE

Divisor Catalog (16)

1 2 3 6 293 586 879 1,758 3,457 6,914 10,371 20,742 1,012,901 2,025,802 3,038,703 6,077,406

Collatz Trajectory (196 steps to reach 1)

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

6,077,406 3,038,703 9,116,110 4,558,055 13,674,166 6,837,083 20,511,250 10,255,625 30,766,876 15,383,438 7,691,719 23,075,158 11,537,579 34,612,738 17,306,369 51,919,108 25,959,554 12,979,777 38,939,332 19,469,666 9,734,833 29,204,500 14,602,250 7,301,125 21,903,376 10,951,688 5,475,844 2,737,922 1,368,961 4,106,884 2,053,442 1,026,721 3,080,164 1,540,082 770,041 2,310,124 1,155,062 577,531 1,732,594 866,297 2,598,892 1,299,446 649,723 1,949,170 974,585 2,923,756 1,461,878 730,939 2,192,818 1,096,409 3,289,228 1,644,614 822,307 2,466,922 1,233,461 3,700,384 1,850,192 925,096 462,548 231,274

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