λ
Harmonic Matrix

3,440,166

2 × 3 × 239 × 2399
Abundant Even Composite

3,440,166 has digital root 6. The neighboring primes are 3440153 and 3440167; its proper-divisor sum differs from the starting integer by 31,668.

Prime Factor Structure

Factorization String 2 × 3 × 239 × 2399
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,912,000
Proper Divisor Sum 3,471,834
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3440153 ← → #3440167

Radix Representation

Decimal 3440166
Binary 1101000111111000100110 (22 bits)
Octal 0o15077046
Hexadecimal 0x347E26

Divisor Catalog (16)

1 2 3 6 239 478 717 1,434 2,399 4,798 7,197 14,394 573,361 1,146,722 1,720,083 3,440,166

Collatz Trajectory (221 steps to reach 1)

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

3,440,166 1,720,083 5,160,250 2,580,125 7,740,376 3,870,188 1,935,094 967,547 2,902,642 1,451,321 4,353,964 2,176,982 1,088,491 3,265,474 1,632,737 4,898,212 2,449,106 1,224,553 3,673,660 1,836,830 918,415 2,755,246 1,377,623 4,132,870 2,066,435 6,199,306 3,099,653 9,298,960 4,649,480 2,324,740 1,162,370 581,185 1,743,556 871,778 435,889 1,307,668 653,834 326,917 980,752 490,376 245,188 122,594 61,297 183,892 91,946 45,973 137,920 68,960 34,480 17,240 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638

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