λ
Harmonic Matrix

1,800,996

22 × 3 × 150083
Abundant Even Composite

1,800,996 has digital root 6. The neighboring primes are 1800979 and 1801003; its proper-divisor sum differs from the starting integer by 600,360.

Prime Factor Structure

Factorization String 2^2 × 3 × 150083
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,202,352
Proper Divisor Sum 2,401,356
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1800979 ← → #1801003

Radix Representation

Decimal 1800996
Binary 110110111101100100100 (21 bits)
Octal 0o6675444
Hexadecimal 0x1B7B24

Divisor Catalog (12)

1 2 3 4 6 12 150,083 300,166 450,249 600,332 900,498 1,800,996

Collatz Trajectory (233 steps to reach 1)

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

1,800,996 900,498 450,249 1,350,748 675,374 337,687 1,013,062 506,531 1,519,594 759,797 2,279,392 1,139,696 569,848 284,924 142,462 71,231 213,694 106,847 320,542 160,271 480,814 240,407 721,222 360,611 1,081,834 540,917 1,622,752 811,376 405,688 202,844 101,422 50,711 152,134 76,067 228,202 114,101 342,304 171,152 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428

More profiles

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