λ
Prime Ledger

3,998,294

2 × 37 × 71 × 761
Deficient Even Composite

3,998,294 has the prime decomposition 2 × 37 × 71 × 761. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 37 × 71 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,254,496
Proper Divisor Sum 2,256,202
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #3998273 ← → #3998299

Radix Representation

Decimal 3998294
Binary 1111010000001001010110 (22 bits)
Octal 0o17201126
Hexadecimal 0x3D0256

Divisor Catalog (16)

1 2 37 71 74 142 761 1,522 2,627 5,254 28,157 54,031 56,314 108,062 1,999,147 3,998,294

Collatz Trajectory (141 steps to reach 1)

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

3,998,294 1,999,147 5,997,442 2,998,721 8,996,164 4,498,082 2,249,041 6,747,124 3,373,562 1,686,781 5,060,344 2,530,172 1,265,086 632,543 1,897,630 948,815 2,846,446 1,423,223 4,269,670 2,134,835 6,404,506 3,202,253 9,606,760 4,803,380 2,401,690 1,200,845 3,602,536 1,801,268 900,634 450,317 1,350,952 675,476 337,738 168,869 506,608 253,304 126,652 63,326 31,663 94,990 47,495 142,486 71,243 213,730 106,865 320,596 160,298 80,149 240,448 120,224 60,112 30,056 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228

More profiles

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