6,918,567

3 × 53² × 821

Starting at 6,918,567, the Collatz iteration reaches 1 after 178 steps. The first transition is 20755702; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 53^2 × 821

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,413,544

Proper Divisor Sum 2,494,977

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6918553 ← → #6918577

Radix Representation

Decimal	6918567
Binary	11010011001000110100111 (23 bits)
Octal	0o32310647
Hexadecimal	0x6991A7

Divisor Catalog (12)

1 3 53 159 821 2,463 2,809 8,427 43,513 130,539 2,306,189 6,918,567

Collatz Trajectory (178 steps to reach 1)

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

6,918,567 20,755,702 10,377,851 31,133,554 15,566,777 46,700,332 23,350,166 11,675,083 35,025,250 17,512,625 52,537,876 26,268,938 13,134,469 39,403,408 19,701,704 9,850,852 4,925,426 2,462,713 7,388,140 3,694,070 1,847,035 5,541,106 2,770,553 8,311,660 4,155,830 2,077,915 6,233,746 3,116,873 9,350,620 4,675,310 2,337,655 7,012,966 3,506,483 10,519,450 5,259,725 15,779,176 7,889,588 3,944,794 1,972,397 5,917,192 2,958,596 1,479,298 739,649 2,218,948 1,109,474 554,737 1,664,212 832,106 416,053 1,248,160 624,080 312,040 156,020 78,010 39,005 117,016 58,508 29,254 14,627 43,882

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