λ
Harmonic Matrix

3,440,330

2 × 5 × 192 × 953
Deficient Even Composite

3,440,330 has digital root 8. The neighboring primes are 3440323 and 3440347; its proper-divisor sum differs from the starting integer by -338,128.

Prime Factor Structure

Factorization String 2 × 5 × 19^2 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,542,532
Proper Divisor Sum 3,102,202
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3440323 ← → #3440347

Radix Representation

Decimal 3440330
Binary 1101000111111011001010 (22 bits)
Octal 0o15077312
Hexadecimal 0x347ECA

Divisor Catalog (24)

1 2 5 10 19 38 95 190 361 722 953 1,805 1,906 3,610 4,765 9,530 18,107 36,214 90,535 181,070 344,033 688,066 1,720,165 3,440,330

Collatz Trajectory (146 steps to reach 1)

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

3,440,330 1,720,165 5,160,496 2,580,248 1,290,124 645,062 322,531 967,594 483,797 1,451,392 725,696 362,848 181,424 90,712 45,356 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103

More profiles

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