λ
Sequence Observatory

3,606,109

13 × 43 × 6451
Deficient Odd Composite

Starting at 3,606,109, the Collatz iteration reaches 1 after 71 steps. The first transition is 10818328; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 43 × 6451
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,974,432
Proper Divisor Sum 368,323
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3606103 ← → #3606151

Radix Representation

Decimal 3606109
Binary 1101110000011001011101 (22 bits)
Octal 0o15603135
Hexadecimal 0x37065D

Divisor Catalog (8)

1 13 43 559 6,451 83,863 277,393 3,606,109

Collatz Trajectory (71 steps to reach 1)

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

3,606,109 10,818,328 5,409,164 2,704,582 1,352,291 4,056,874 2,028,437 6,085,312 3,042,656 1,521,328 760,664 380,332 190,166 95,083 285,250 142,625 427,876 213,938 106,969 320,908 160,454 80,227 240,682 120,341 361,024 180,512 90,256 45,128 22,564 11,282 5,641 16,924 8,462 4,231 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106

More profiles

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