λ
Harmonic Matrix

6,029,085

3 × 5 × 401939
Deficient Odd Composite

6,029,085 has digital root 3. The neighboring primes are 6029081 and 6029087; its proper-divisor sum differs from the starting integer by -2,411,610.

Prime Factor Structure

Factorization String 3 × 5 × 401939
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,646,560
Proper Divisor Sum 3,617,475
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6029081 ← → #6029087

Radix Representation

Decimal 6029085
Binary 10110111111111100011101 (23 bits)
Octal 0o26777435
Hexadecimal 0x5BFF1D

Divisor Catalog (8)

1 3 5 15 401,939 1,205,817 2,009,695 6,029,085

Collatz Trajectory (134 steps to reach 1)

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

6,029,085 18,087,256 9,043,628 4,521,814 2,260,907 6,782,722 3,391,361 10,174,084 5,087,042 2,543,521 7,630,564 3,815,282 1,907,641 5,722,924 2,861,462 1,430,731 4,292,194 2,146,097 6,438,292 3,219,146 1,609,573 4,828,720 2,414,360 1,207,180 603,590 301,795 905,386 452,693 1,358,080 679,040 339,520 169,760 84,880 42,440 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063

More profiles

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