λ
Harmonic Matrix

8,994,618

2 × 33 × 166567
Abundant Even Composite

8,994,618 has digital root 9. The neighboring primes are 8994613 and 8994631; its proper-divisor sum differs from the starting integer by 1,998,924.

Prime Factor Structure

Factorization String 2 × 3^3 × 166567
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,988,160
Proper Divisor Sum 10,993,542
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8994613 ← → #8994631

Radix Representation

Decimal 8994618
Binary 100010010011111100111010 (24 bits)
Octal 0o42237472
Hexadecimal 0x893F3A

Divisor Catalog (16)

1 2 3 6 9 18 27 54 166,567 333,134 499,701 999,402 1,499,103 2,998,206 4,497,309 8,994,618

Collatz Trajectory (194 steps to reach 1)

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

8,994,618 4,497,309 13,491,928 6,745,964 3,372,982 1,686,491 5,059,474 2,529,737 7,589,212 3,794,606 1,897,303 5,691,910 2,845,955 8,537,866 4,268,933 12,806,800 6,403,400 3,201,700 1,600,850 800,425 2,401,276 1,200,638 600,319 1,800,958 900,479 2,701,438 1,350,719 4,052,158 2,026,079 6,078,238 3,039,119 9,117,358 4,558,679 13,676,038 6,838,019 20,514,058 10,257,029 30,771,088 15,385,544 7,692,772 3,846,386 1,923,193 5,769,580 2,884,790 1,442,395 4,327,186 2,163,593 6,490,780 3,245,390 1,622,695 4,868,086 2,434,043 7,302,130 3,651,065 10,953,196 5,476,598 2,738,299 8,214,898 4,107,449 12,322,348

More profiles

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