λ
Sequence Observatory

3,819,921

3 × 7 × 101 × 1801
Deficient Odd Composite

Starting at 3,819,921, the Collatz iteration reaches 1 after 79 steps. The first transition is 11459764; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 101 × 1801
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,881,728
Proper Divisor Sum 2,061,807
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3819901 ← → #3819923

Radix Representation

Decimal 3819921
Binary 1110100100100110010001 (22 bits)
Octal 0o16444621
Hexadecimal 0x3A4991

Divisor Catalog (16)

1 3 7 21 101 303 707 1,801 2,121 5,403 12,607 37,821 181,901 545,703 1,273,307 3,819,921

Collatz Trajectory (79 steps to reach 1)

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

3,819,921 11,459,764 5,729,882 2,864,941 8,594,824 4,297,412 2,148,706 1,074,353 3,223,060 1,611,530 805,765 2,417,296 1,208,648 604,324 302,162 151,081 453,244 226,622 113,311 339,934 169,967 509,902 254,951 764,854 382,427 1,147,282 573,641 1,720,924 860,462 430,231 1,290,694 645,347 1,936,042 968,021 2,904,064 1,452,032 726,016 363,008 181,504 90,752 45,376 22,688 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19

More profiles

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