λ
Sequence Observatory

3,106,371

3 × 47 × 22031
Deficient Odd Composite

Starting at 3,106,371, the Collatz iteration reaches 1 after 133 steps. The first transition is 9319114; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 47 × 22031
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,230,144
Proper Divisor Sum 1,123,773
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3106361 ← → #3106381

Radix Representation

Decimal 3106371
Binary 1011110110011001000011 (22 bits)
Octal 0o13663103
Hexadecimal 0x2F6643

Divisor Catalog (8)

1 3 47 141 22,031 66,093 1,035,457 3,106,371

Collatz Trajectory (133 steps to reach 1)

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

3,106,371 9,319,114 4,659,557 13,978,672 6,989,336 3,494,668 1,747,334 873,667 2,621,002 1,310,501 3,931,504 1,965,752 982,876 491,438 245,719 737,158 368,579 1,105,738 552,869 1,658,608 829,304 414,652 207,326 103,663 310,990 155,495 466,486 233,243 699,730 349,865 1,049,596 524,798 262,399 787,198 393,599 1,180,798 590,399 1,771,198 885,599 2,656,798 1,328,399 3,985,198 1,992,599 5,977,798 2,988,899 8,966,698 4,483,349 13,450,048 6,725,024 3,362,512 1,681,256 840,628 420,314 210,157 630,472 315,236 157,618 78,809 236,428 118,214

More profiles

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