λ
Harmonic Matrix

6,002,791

1571 × 3821
Deficient Odd Composite

6,002,791 has digital root 7. The neighboring primes are 6002767 and 6002849; its proper-divisor sum differs from the starting integer by -5,997,398.

Prime Factor Structure

Factorization String 1571 × 3821
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,008,184
Proper Divisor Sum 5,393
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6002767 ← → #6002849

Radix Representation

Decimal 6002791
Binary 10110111001100001100111 (23 bits)
Octal 0o26714147
Hexadecimal 0x5B9867

Divisor Catalog (4)

1 1,571 3,821 6,002,791

Collatz Trajectory (227 steps to reach 1)

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

6,002,791 18,008,374 9,004,187 27,012,562 13,506,281 40,518,844 20,259,422 10,129,711 30,389,134 15,194,567 45,583,702 22,791,851 68,375,554 34,187,777 102,563,332 51,281,666 25,640,833 76,922,500 38,461,250 19,230,625 57,691,876 28,845,938 14,422,969 43,268,908 21,634,454 10,817,227 32,451,682 16,225,841 48,677,524 24,338,762 12,169,381 36,508,144 18,254,072 9,127,036 4,563,518 2,281,759 6,845,278 3,422,639 10,267,918 5,133,959 15,401,878 7,700,939 23,102,818 11,551,409 34,654,228 17,327,114 8,663,557 25,990,672 12,995,336 6,497,668 3,248,834 1,624,417 4,873,252 2,436,626 1,218,313 3,654,940 1,827,470 913,735 2,741,206 1,370,603

More profiles

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