λ
Harmonic Matrix

394,418

2 × 199 × 991
Deficient Even Composite

394,418 has digital root 2. The neighboring primes are 394411 and 394453; its proper-divisor sum differs from the starting integer by -193,636.

Prime Factor Structure

Factorization String 2 × 199 × 991
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 595,200
Proper Divisor Sum 200,782
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #394411 ← → #394453

Radix Representation

Decimal 394418
Binary 1100000010010110010 (19 bits)
Octal 0o1402262
Hexadecimal 0x604B2

Divisor Catalog (8)

1 2 199 398 991 1,982 197,209 394,418

Collatz Trajectory (236 steps to reach 1)

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

394,418 197,209 591,628 295,814 147,907 443,722 221,861 665,584 332,792 166,396 83,198 41,599 124,798 62,399 187,198 93,599 280,798 140,399 421,198 210,599 631,798 315,899 947,698 473,849 1,421,548 710,774 355,387 1,066,162 533,081 1,599,244 799,622 399,811 1,199,434 599,717 1,799,152 899,576 449,788 224,894 112,447 337,342 168,671 506,014 253,007 759,022 379,511 1,138,534 569,267 1,707,802 853,901 2,561,704 1,280,852 640,426 320,213 960,640 480,320 240,160 120,080 60,040 30,020 15,010

More profiles

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