6,741,549

3⁵ × 27743

Starting at 6,741,549, the Collatz iteration reaches 1 after 147 steps. The first transition is 20224648; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 27743

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,098,816

Proper Divisor Sum 3,357,267

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6741533 ← → #6741551

Radix Representation

Decimal	6741549
Binary	11001101101111000101101 (23 bits)
Octal	0o31557055
Hexadecimal	0x66DE2D

Divisor Catalog (12)

1 3 9 27 81 243 27,743 83,229 249,687 749,061 2,247,183 6,741,549

Collatz Trajectory (147 steps to reach 1)

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

6,741,549 20,224,648 10,112,324 5,056,162 2,528,081 7,584,244 3,792,122 1,896,061 5,688,184 2,844,092 1,422,046 711,023 2,133,070 1,066,535 3,199,606 1,599,803 4,799,410 2,399,705 7,199,116 3,599,558 1,799,779 5,399,338 2,699,669 8,099,008 4,049,504 2,024,752 1,012,376 506,188 253,094 126,547 379,642 189,821 569,464 284,732 142,366 71,183 213,550 106,775 320,326 160,163 480,490 240,245 720,736 360,368 180,184 90,092 45,046 22,523 67,570 33,785 101,356 50,678 25,339 76,018 38,009 114,028 57,014 28,507 85,522 42,761

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