λ
Harmonic Matrix

6,143,028

22 × 3 × 271 × 1889
Abundant Even Composite

6,143,028 has digital root 6. The neighboring primes are 6143003 and 6143063; its proper-divisor sum differs from the starting integer by 2,108,184.

Prime Factor Structure

Factorization String 2^2 × 3 × 271 × 1889
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,394,240
Proper Divisor Sum 8,251,212
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6143003 ← → #6143063

Radix Representation

Decimal 6143028
Binary 10111011011110000110100 (23 bits)
Octal 0o27336064
Hexadecimal 0x5DBC34

Divisor Catalog (24)

1 2 3 4 6 12 271 542 813 1,084 1,626 1,889 3,252 3,778 5,667 7,556 11,334 22,668 511,919 1,023,838 1,535,757 2,047,676 3,071,514 6,143,028

Collatz Trajectory (196 steps to reach 1)

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

6,143,028 3,071,514 1,535,757 4,607,272 2,303,636 1,151,818 575,909 1,727,728 863,864 431,932 215,966 107,983 323,950 161,975 485,926 242,963 728,890 364,445 1,093,336 546,668 273,334 136,667 410,002 205,001 615,004 307,502 153,751 461,254 230,627 691,882 345,941 1,037,824 518,912 259,456 129,728 64,864 32,432 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500

More profiles

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