λ
Harmonic Matrix

9,504,324

22 × 33 × 88003
Abundant Even Composite

9,504,324 has digital root 9. The neighboring primes are 9504323 and 9504329; its proper-divisor sum differs from the starting integer by 5,632,472.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 88003
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,641,120
Proper Divisor Sum 15,136,796
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9504323 ← → #9504329

Radix Representation

Decimal 9504324
Binary 100100010000011001000100 (24 bits)
Octal 0o44203104
Hexadecimal 0x910644

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 88,003 176,006 264,009 352,012 528,018 792,027 1,056,036 1,584,054 2,376,081 3,168,108 4,752,162 9,504,324

Collatz Trajectory (119 steps to reach 1)

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

9,504,324 4,752,162 2,376,081 7,128,244 3,564,122 1,782,061 5,346,184 2,673,092 1,336,546 668,273 2,004,820 1,002,410 501,205 1,503,616 751,808 375,904 187,952 93,976 46,988 23,494 11,747 35,242 17,621 52,864 26,432 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283

More profiles

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