λ
Harmonic Matrix

6,282,641

1471 × 4271
Deficient Odd Composite

6,282,641 has digital root 2. The neighboring primes are 6282613 and 6282659; its proper-divisor sum differs from the starting integer by -6,276,898.

Prime Factor Structure

Factorization String 1471 × 4271
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,288,384
Proper Divisor Sum 5,743
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6282613 ← → #6282659

Radix Representation

Decimal 6282641
Binary 10111111101110110010001 (23 bits)
Octal 0o27756621
Hexadecimal 0x5FDD91

Divisor Catalog (4)

1 1,471 4,271 6,282,641

Collatz Trajectory (134 steps to reach 1)

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

6,282,641 18,847,924 9,423,962 4,711,981 14,135,944 7,067,972 3,533,986 1,766,993 5,300,980 2,650,490 1,325,245 3,975,736 1,987,868 993,934 496,967 1,490,902 745,451 2,236,354 1,118,177 3,354,532 1,677,266 838,633 2,515,900 1,257,950 628,975 1,886,926 943,463 2,830,390 1,415,195 4,245,586 2,122,793 6,368,380 3,184,190 1,592,095 4,776,286 2,388,143 7,164,430 3,582,215 10,746,646 5,373,323 16,119,970 8,059,985 24,179,956 12,089,978 6,044,989 18,134,968 9,067,484 4,533,742 2,266,871 6,800,614 3,400,307 10,200,922 5,100,461 15,301,384 7,650,692 3,825,346 1,912,673 5,738,020 2,869,010 1,434,505

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