λ
Prime Ledger

3,998,898

2 × 32 × 222161
Abundant Even Composite

3,998,898 has the prime decomposition 2 × 3^2 × 222161. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 222161
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,664,318
Proper Divisor Sum 4,665,420
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #3998881 ← → #3998899

Radix Representation

Decimal 3998898
Binary 1111010000010010110010 (22 bits)
Octal 0o17202262
Hexadecimal 0x3D04B2

Divisor Catalog (12)

1 2 3 6 9 18 222,161 444,322 666,483 1,332,966 1,999,449 3,998,898

Collatz Trajectory (260 steps to reach 1)

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

3,998,898 1,999,449 5,998,348 2,999,174 1,499,587 4,498,762 2,249,381 6,748,144 3,374,072 1,687,036 843,518 421,759 1,265,278 632,639 1,897,918 948,959 2,846,878 1,423,439 4,270,318 2,135,159 6,405,478 3,202,739 9,608,218 4,804,109 14,412,328 7,206,164 3,603,082 1,801,541 5,404,624 2,702,312 1,351,156 675,578 337,789 1,013,368 506,684 253,342 126,671 380,014 190,007 570,022 285,011 855,034 427,517 1,282,552 641,276 320,638 160,319 480,958 240,479 721,438 360,719 1,082,158 541,079 1,623,238 811,619 2,434,858 1,217,429 3,652,288 1,826,144 913,072

More profiles

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