λ
Sequence Observatory

3,385,655

5 × 72 × 13 × 1063
Deficient Odd Composite

Starting at 3,385,655, the Collatz iteration reaches 1 after 133 steps. The first transition is 10156966; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 13 × 1063
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,094,432
Proper Divisor Sum 1,708,777
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3385637 ← → #3385661

Radix Representation

Decimal 3385655
Binary 1100111010100100110111 (22 bits)
Octal 0o14724467
Hexadecimal 0x33A937

Divisor Catalog (24)

1 5 7 13 35 49 65 91 245 455 637 1,063 3,185 5,315 7,441 13,819 37,205 52,087 69,095 96,733 260,435 483,665 677,131 3,385,655

Collatz Trajectory (133 steps to reach 1)

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

3,385,655 10,156,966 5,078,483 15,235,450 7,617,725 22,853,176 11,426,588 5,713,294 2,856,647 8,569,942 4,284,971 12,854,914 6,427,457 19,282,372 9,641,186 4,820,593 14,461,780 7,230,890 3,615,445 10,846,336 5,423,168 2,711,584 1,355,792 677,896 338,948 169,474 84,737 254,212 127,106 63,553 190,660 95,330 47,665 142,996 71,498 35,749 107,248 53,624 26,812 13,406 6,703 20,110 10,055 30,166 15,083 45,250 22,625 67,876 33,938 16,969 50,908 25,454 12,727 38,182 19,091 57,274 28,637 85,912 42,956 21,478

More profiles

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