λ
Harmonic Matrix

6,219,017

7 × 888431
Deficient Odd Composite

6,219,017 has digital root 8. The neighboring primes are 6219001 and 6219041; its proper-divisor sum differs from the starting integer by -5,330,578.

Prime Factor Structure

Factorization String 7 × 888431
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,107,456
Proper Divisor Sum 888,439
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6219001 ← → #6219041

Radix Representation

Decimal 6219017
Binary 10111101110010100001001 (23 bits)
Octal 0o27562411
Hexadecimal 0x5EE509

Divisor Catalog (4)

1 7 888,431 6,219,017

Collatz Trajectory (121 steps to reach 1)

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

6,219,017 18,657,052 9,328,526 4,664,263 13,992,790 6,996,395 20,989,186 10,494,593 31,483,780 15,741,890 7,870,945 23,612,836 11,806,418 5,903,209 17,709,628 8,854,814 4,427,407 13,282,222 6,641,111 19,923,334 9,961,667 29,885,002 14,942,501 44,827,504 22,413,752 11,206,876 5,603,438 2,801,719 8,405,158 4,202,579 12,607,738 6,303,869 18,911,608 9,455,804 4,727,902 2,363,951 7,091,854 3,545,927 10,637,782 5,318,891 15,956,674 7,978,337 23,935,012 11,967,506 5,983,753 17,951,260 8,975,630 4,487,815 13,463,446 6,731,723 20,195,170 10,097,585 30,292,756 15,146,378 7,573,189 22,719,568 11,359,784 5,679,892 2,839,946 1,419,973

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