λ
Sequence Observatory

4,144,021

7 × 239 × 2477
Deficient Odd Composite

Starting at 4,144,021, the Collatz iteration reaches 1 after 198 steps. The first transition is 12432064; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 239 × 2477
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,757,760
Proper Divisor Sum 613,739
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4144001 ← → #4144031

Radix Representation

Decimal 4144021
Binary 1111110011101110010101 (22 bits)
Octal 0o17635625
Hexadecimal 0x3F3B95

Divisor Catalog (8)

1 7 239 1,673 2,477 17,339 592,003 4,144,021

Collatz Trajectory (198 steps to reach 1)

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

4,144,021 12,432,064 6,216,032 3,108,016 1,554,008 777,004 388,502 194,251 582,754 291,377 874,132 437,066 218,533 655,600 327,800 163,900 81,950 40,975 122,926 61,463 184,390 92,195 276,586 138,293 414,880 207,440 103,720 51,860 25,930 12,965 38,896 19,448 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731

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