λ
Harmonic Matrix

9,098,844

22 × 3 × 758237
Abundant Even Composite

9,098,844 has digital root 6. The neighboring primes are 9098833 and 9098861; its proper-divisor sum differs from the starting integer by 3,032,976.

Prime Factor Structure

Factorization String 2^2 × 3 × 758237
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 21,230,664
Proper Divisor Sum 12,131,820
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9098833 ← → #9098861

Radix Representation

Decimal 9098844
Binary 100010101101011001011100 (24 bits)
Octal 0o42553134
Hexadecimal 0x8AD65C

Divisor Catalog (12)

1 2 3 4 6 12 758,237 1,516,474 2,274,711 3,032,948 4,549,422 9,098,844

Collatz Trajectory (119 steps to reach 1)

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

9,098,844 4,549,422 2,274,711 6,824,134 3,412,067 10,236,202 5,118,101 15,354,304 7,677,152 3,838,576 1,919,288 959,644 479,822 239,911 719,734 359,867 1,079,602 539,801 1,619,404 809,702 404,851 1,214,554 607,277 1,821,832 910,916 455,458 227,729 683,188 341,594 170,797 512,392 256,196 128,098 64,049 192,148 96,074 48,037 144,112 72,056 36,028 18,014 9,007 27,022 13,511 40,534 20,267 60,802 30,401 91,204 45,602 22,801 68,404 34,202 17,101 51,304 25,652 12,826 6,413 19,240 9,620

More profiles

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