6,693,291

3² × 11 × 17 × 41 × 97

Starting at 6,693,291, the Collatz iteration reaches 1 after 209 steps. The first transition is 20079874; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 17 × 41 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,557,728

Proper Divisor Sum 4,864,437

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6693289 ← → #6693307

Radix Representation

Decimal	6693291
Binary	11001100010000110101011 (23 bits)
Octal	0o31420653
Hexadecimal	0x6621AB

Divisor Catalog (48)

1 3 9 11 17 33 41 51 97 99 123 153 187 291 369 451 561 697 873 1,067 1,353 1,649 1,683 2,091 3,201 3,977 4,059 4,947 6,273 7,667 9,603 11,931 14,841 18,139 23,001 35,793 43,747 54,417 67,609 69,003 131,241 163,251 202,827 393,723 608,481 743,699 2,231,097 6,693,291

Collatz Trajectory (209 steps to reach 1)

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

6,693,291 20,079,874 10,039,937 30,119,812 15,059,906 7,529,953 22,589,860 11,294,930 5,647,465 16,942,396 8,471,198 4,235,599 12,706,798 6,353,399 19,060,198 9,530,099 28,590,298 14,295,149 42,885,448 21,442,724 10,721,362 5,360,681 16,082,044 8,041,022 4,020,511 12,061,534 6,030,767 18,092,302 9,046,151 27,138,454 13,569,227 40,707,682 20,353,841 61,061,524 30,530,762 15,265,381 45,796,144 22,898,072 11,449,036 5,724,518 2,862,259 8,586,778 4,293,389 12,880,168 6,440,084 3,220,042 1,610,021 4,830,064 2,415,032 1,207,516 603,758 301,879 905,638 452,819 1,358,458 679,229 2,037,688 1,018,844 509,422 254,711

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