λ
Sequence Observatory

3,733,031

3733031
Deficient Odd Prime

Starting at 3,733,031, the Collatz iteration reaches 1 after 128 steps. The first transition is 11199094; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 3733031
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,733,032
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3733027 ← → #3733049

Radix Representation

Decimal 3733031
Binary 1110001111011000100111 (22 bits)
Octal 0o16173047
Hexadecimal 0x38F627

Divisor Catalog (2)

Collatz Trajectory (128 steps to reach 1)

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

3,733,031 11,199,094 5,599,547 16,798,642 8,399,321 25,197,964 12,598,982 6,299,491 18,898,474 9,449,237 28,347,712 14,173,856 7,086,928 3,543,464 1,771,732 885,866 442,933 1,328,800 664,400 332,200 166,100 83,050 41,525 124,576 62,288 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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