λ
Harmonic Matrix

6,371,949

3 × 2123983
Deficient Odd Composite

6,371,949 has digital root 3. The neighboring primes are 6371947 and 6371977; its proper-divisor sum differs from the starting integer by -4,247,962.

Prime Factor Structure

Factorization String 3 × 2123983
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,495,936
Proper Divisor Sum 2,123,987
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6371947 ← → #6371977

Radix Representation

Decimal 6371949
Binary 11000010011101001101101 (23 bits)
Octal 0o30235155
Hexadecimal 0x613A6D

Divisor Catalog (4)

1 3 2,123,983 6,371,949

Collatz Trajectory (152 steps to reach 1)

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

6,371,949 19,115,848 9,557,924 4,778,962 2,389,481 7,168,444 3,584,222 1,792,111 5,376,334 2,688,167 8,064,502 4,032,251 12,096,754 6,048,377 18,145,132 9,072,566 4,536,283 13,608,850 6,804,425 20,413,276 10,206,638 5,103,319 15,309,958 7,654,979 22,964,938 11,482,469 34,447,408 17,223,704 8,611,852 4,305,926 2,152,963 6,458,890 3,229,445 9,688,336 4,844,168 2,422,084 1,211,042 605,521 1,816,564 908,282 454,141 1,362,424 681,212 340,606 170,303 510,910 255,455 766,366 383,183 1,149,550 574,775 1,724,326 862,163 2,586,490 1,293,245 3,879,736 1,939,868 969,934 484,967 1,454,902

More profiles

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