λ
Harmonic Matrix

6,260,109

3 × 31 × 83 × 811
Deficient Odd Composite

6,260,109 has digital root 6. The neighboring primes are 6260099 and 6260129; its proper-divisor sum differs from the starting integer by -3,789,594.

Prime Factor Structure

Factorization String 3 × 31 × 83 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,730,624
Proper Divisor Sum 2,470,515
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6260099 ← → #6260129

Radix Representation

Decimal 6260109
Binary 10111111000010110001101 (23 bits)
Octal 0o27702615
Hexadecimal 0x5F858D

Divisor Catalog (16)

1 3 31 83 93 249 811 2,433 2,573 7,719 25,141 67,313 75,423 201,939 2,086,703 6,260,109

Collatz Trajectory (196 steps to reach 1)

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

6,260,109 18,780,328 9,390,164 4,695,082 2,347,541 7,042,624 3,521,312 1,760,656 880,328 440,164 220,082 110,041 330,124 165,062 82,531 247,594 123,797 371,392 185,696 92,848 46,424 23,212 11,606 5,803 17,410 8,705 26,116 13,058 6,529 19,588 9,794 4,897 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106

More profiles

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