λ
Harmonic Matrix

9,894,006

2 × 32 × 549667
Abundant Even Composite

9,894,006 has digital root 9. The neighboring primes are 9893993 and 9894007; its proper-divisor sum differs from the starting integer by 1,649,040.

Prime Factor Structure

Factorization String 2 × 3^2 × 549667
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 21,437,052
Proper Divisor Sum 11,543,046
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9893993 ← → #9894007

Radix Representation

Decimal 9894006
Binary 100101101111100001110110 (24 bits)
Octal 0o45574166
Hexadecimal 0x96F876

Divisor Catalog (12)

1 2 3 6 9 18 549,667 1,099,334 1,649,001 3,298,002 4,947,003 9,894,006

Collatz Trajectory (220 steps to reach 1)

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

9,894,006 4,947,003 14,841,010 7,420,505 22,261,516 11,130,758 5,565,379 16,696,138 8,348,069 25,044,208 12,522,104 6,261,052 3,130,526 1,565,263 4,695,790 2,347,895 7,043,686 3,521,843 10,565,530 5,282,765 15,848,296 7,924,148 3,962,074 1,981,037 5,943,112 2,971,556 1,485,778 742,889 2,228,668 1,114,334 557,167 1,671,502 835,751 2,507,254 1,253,627 3,760,882 1,880,441 5,641,324 2,820,662 1,410,331 4,230,994 2,115,497 6,346,492 3,173,246 1,586,623 4,759,870 2,379,935 7,139,806 3,569,903 10,709,710 5,354,855 16,064,566 8,032,283 24,096,850 12,048,425 36,145,276 18,072,638 9,036,319 27,108,958 13,554,479

More profiles

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