λ
Harmonic Matrix

6,404,421

3 × 191 × 11177
Deficient Odd Composite

6,404,421 has digital root 3. The neighboring primes are 6404407 and 6404449; its proper-divisor sum differs from the starting integer by -4,224,138.

Prime Factor Structure

Factorization String 3 × 191 × 11177
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,584,704
Proper Divisor Sum 2,180,283
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6404407 ← → #6404449

Radix Representation

Decimal 6404421
Binary 11000011011100101000101 (23 bits)
Octal 0o30334505
Hexadecimal 0x61B945

Divisor Catalog (8)

1 3 191 573 11,177 33,531 2,134,807 6,404,421

Collatz Trajectory (147 steps to reach 1)

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

6,404,421 19,213,264 9,606,632 4,803,316 2,401,658 1,200,829 3,602,488 1,801,244 900,622 450,311 1,350,934 675,467 2,026,402 1,013,201 3,039,604 1,519,802 759,901 2,279,704 1,139,852 569,926 284,963 854,890 427,445 1,282,336 641,168 320,584 160,292 80,146 40,073 120,220 60,110 30,055 90,166 45,083 135,250 67,625 202,876 101,438 50,719 152,158 76,079 228,238 114,119 342,358 171,179 513,538 256,769 770,308 385,154 192,577 577,732 288,866 144,433 433,300 216,650 108,325 324,976 162,488 81,244 40,622

More profiles

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