λ
Harmonic Matrix

6,371,199

32 × 707911
Deficient Odd Composite

6,371,199 has digital root 9. The neighboring primes are 6371191 and 6371237; its proper-divisor sum differs from the starting integer by -3,539,542.

Prime Factor Structure

Factorization String 3^2 × 707911
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,202,856
Proper Divisor Sum 2,831,657
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6371191 ← → #6371237

Radix Representation

Decimal 6371199
Binary 11000010011011101111111 (23 bits)
Octal 0o30233577
Hexadecimal 0x61377F

Divisor Catalog (6)

1 3 9 707,911 2,123,733 6,371,199

Collatz Trajectory (147 steps to reach 1)

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

6,371,199 19,113,598 9,556,799 28,670,398 14,335,199 43,005,598 21,502,799 64,508,398 32,254,199 96,762,598 48,381,299 145,143,898 72,571,949 217,715,848 108,857,924 54,428,962 27,214,481 81,643,444 40,821,722 20,410,861 61,232,584 30,616,292 15,308,146 7,654,073 22,962,220 11,481,110 5,740,555 17,221,666 8,610,833 25,832,500 12,916,250 6,458,125 19,374,376 9,687,188 4,843,594 2,421,797 7,265,392 3,632,696 1,816,348 908,174 454,087 1,362,262 681,131 2,043,394 1,021,697 3,065,092 1,532,546 766,273 2,298,820 1,149,410 574,705 1,724,116 862,058 431,029 1,293,088 646,544 323,272 161,636 80,818 40,409

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