λ
Harmonic Matrix

3,755,406

2 × 3 × 389 × 1609
Abundant Even Composite

3,755,406 has digital root 3. The neighboring primes are 3755387 and 3755429; its proper-divisor sum differs from the starting integer by 23,988.

Prime Factor Structure

Factorization String 2 × 3 × 389 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,534,800
Proper Divisor Sum 3,779,394
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3755387 ← → #3755429

Radix Representation

Decimal 3755406
Binary 1110010100110110001110 (22 bits)
Octal 0o16246616
Hexadecimal 0x394D8E

Divisor Catalog (16)

1 2 3 6 389 778 1,167 1,609 2,334 3,218 4,827 9,654 625,901 1,251,802 1,877,703 3,755,406

Collatz Trajectory (84 steps to reach 1)

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

3,755,406 1,877,703 5,633,110 2,816,555 8,449,666 4,224,833 12,674,500 6,337,250 3,168,625 9,505,876 4,752,938 2,376,469 7,129,408 3,564,704 1,782,352 891,176 445,588 222,794 111,397 334,192 167,096 83,548 41,774 20,887 62,662 31,331 93,994 46,997 140,992 70,496 35,248 17,624 8,812 4,406 2,203 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976

More profiles

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