λ
Integer Codex

4,398,021

32 × 107 × 4567
Deficient Odd Composite

For 4,398,021, the 12 positive divisors have a total of 6,413,472. Removing 4,398,021 leaves 2,015,451, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 107 × 4567
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,413,472
Proper Divisor Sum 2,015,451
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4398013 ← → #4398047

Radix Representation

Decimal 4398021
Binary 10000110001101111000101 (23 bits)
Octal 0o20615705
Hexadecimal 0x431BC5

Divisor Catalog (12)

1 3 9 107 321 963 4,567 13,701 41,103 488,669 1,466,007 4,398,021

Collatz Trajectory (198 steps to reach 1)

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

4,398,021 13,194,064 6,597,032 3,298,516 1,649,258 824,629 2,473,888 1,236,944 618,472 309,236 154,618 77,309 231,928 115,964 57,982 28,991 86,974 43,487 130,462 65,231 195,694 97,847 293,542 146,771 440,314 220,157 660,472 330,236 165,118 82,559 247,678 123,839 371,518 185,759 557,278 278,639 835,918 417,959 1,253,878 626,939 1,880,818 940,409 2,821,228 1,410,614 705,307 2,115,922 1,057,961 3,173,884 1,586,942 793,471 2,380,414 1,190,207 3,570,622 1,785,311 5,355,934 2,677,967 8,033,902 4,016,951 12,050,854 6,025,427

More profiles

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