λ
Harmonic Matrix

6,001,050

2 × 3 × 52 × 11 × 3637
Abundant Even Composite

6,001,050 has digital root 3. The neighboring primes are 6001049 and 6001063; its proper-divisor sum differs from the starting integer by 4,237,932.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 11 × 3637
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,240,032
Proper Divisor Sum 10,238,982
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #6001049 ← → #6001063

Radix Representation

Decimal 6001050
Binary 10110111001000110011010 (23 bits)
Octal 0o26710632
Hexadecimal 0x5B919A

Divisor Catalog (48)

1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1,650 3,637 7,274 10,911 18,185 21,822 36,370 40,007 54,555 80,014 90,925 109,110 120,021 181,850 200,035 240,042 272,775 400,070 545,550 600,105 1,000,175 1,200,210 2,000,350 3,000,525 6,001,050

Collatz Trajectory (90 steps to reach 1)

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

6,001,050 3,000,525 9,001,576 4,500,788 2,250,394 1,125,197 3,375,592 1,687,796 843,898 421,949 1,265,848 632,924 316,462 158,231 474,694 237,347 712,042 356,021 1,068,064 534,032 267,016 133,508 66,754 33,377 100,132 50,066 25,033 75,100 37,550 18,775 56,326 28,163 84,490 42,245 126,736 63,368 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178

More profiles

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