λ
Harmonic Matrix

6,427,169

7 × 107 × 8581
Deficient Odd Composite

6,427,169 has digital root 8. The neighboring primes are 6427121 and 6427171; its proper-divisor sum differs from the starting integer by -5,439,490.

Prime Factor Structure

Factorization String 7 × 107 × 8581
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,414,848
Proper Divisor Sum 987,679
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6427121 ← → #6427171

Radix Representation

Decimal 6427169
Binary 11000100001001000100001 (23 bits)
Octal 0o30411041
Hexadecimal 0x621221

Divisor Catalog (8)

1 7 107 749 8,581 60,067 918,167 6,427,169

Collatz Trajectory (346 steps to reach 1)

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

6,427,169 19,281,508 9,640,754 4,820,377 14,461,132 7,230,566 3,615,283 10,845,850 5,422,925 16,268,776 8,134,388 4,067,194 2,033,597 6,100,792 3,050,396 1,525,198 762,599 2,287,798 1,143,899 3,431,698 1,715,849 5,147,548 2,573,774 1,286,887 3,860,662 1,930,331 5,790,994 2,895,497 8,686,492 4,343,246 2,171,623 6,514,870 3,257,435 9,772,306 4,886,153 14,658,460 7,329,230 3,664,615 10,993,846 5,496,923 16,490,770 8,245,385 24,736,156 12,368,078 6,184,039 18,552,118 9,276,059 27,828,178 13,914,089 41,742,268 20,871,134 10,435,567 31,306,702 15,653,351 46,960,054 23,480,027 70,440,082 35,220,041 105,660,124 52,830,062

More profiles

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