λ
Harmonic Matrix

6,438,078

2 × 32 × 357671
Abundant Even Composite

6,438,078 has digital root 9. The neighboring primes are 6438077 and 6438079; its proper-divisor sum differs from the starting integer by 1,073,052.

Prime Factor Structure

Factorization String 2 × 3^2 × 357671
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,949,208
Proper Divisor Sum 7,511,130
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6438077 ← → #6438079

Radix Representation

Decimal 6438078
Binary 11000100011110010111110 (23 bits)
Octal 0o30436276
Hexadecimal 0x623CBE

Divisor Catalog (12)

1 2 3 6 9 18 357,671 715,342 1,073,013 2,146,026 3,219,039 6,438,078

Collatz Trajectory (240 steps to reach 1)

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

6,438,078 3,219,039 9,657,118 4,828,559 14,485,678 7,242,839 21,728,518 10,864,259 32,592,778 16,296,389 48,889,168 24,444,584 12,222,292 6,111,146 3,055,573 9,166,720 4,583,360 2,291,680 1,145,840 572,920 286,460 143,230 71,615 214,846 107,423 322,270 161,135 483,406 241,703 725,110 362,555 1,087,666 543,833 1,631,500 815,750 407,875 1,223,626 611,813 1,835,440 917,720 458,860 229,430 114,715 344,146 172,073 516,220 258,110 129,055 387,166 193,583 580,750 290,375 871,126 435,563 1,306,690 653,345 1,960,036 980,018 490,009 1,470,028

More profiles

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