λ
Harmonic Matrix

6,589,809

33 × 107 × 2281
Deficient Odd Composite

6,589,809 has digital root 9. The neighboring primes are 6589787 and 6589819; its proper-divisor sum differs from the starting integer by -3,321,378.

Prime Factor Structure

Factorization String 3^3 × 107 × 2281
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,858,240
Proper Divisor Sum 3,268,431
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6589787 ← → #6589819

Radix Representation

Decimal 6589809
Binary 11001001000110101110001 (23 bits)
Octal 0o31106561
Hexadecimal 0x648D71

Divisor Catalog (16)

1 3 9 27 107 321 963 2,281 2,889 6,843 20,529 61,587 244,067 732,201 2,196,603 6,589,809

Collatz Trajectory (178 steps to reach 1)

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

6,589,809 19,769,428 9,884,714 4,942,357 14,827,072 7,413,536 3,706,768 1,853,384 926,692 463,346 231,673 695,020 347,510 173,755 521,266 260,633 781,900 390,950 195,475 586,426 293,213 879,640 439,820 219,910 109,955 329,866 164,933 494,800 247,400 123,700 61,850 30,925 92,776 46,388 23,194 11,597 34,792 17,396 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162

More profiles

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