λ
Harmonic Matrix

9,429,529

19 × 496291
Deficient Odd Composite

9,429,529 has digital root 4. The neighboring primes are 9429523 and 9429569; its proper-divisor sum differs from the starting integer by -8,933,218.

Prime Factor Structure

Factorization String 19 × 496291
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,925,840
Proper Divisor Sum 496,311
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9429523 ← → #9429569

Radix Representation

Decimal 9429529
Binary 100011111110001000011001 (24 bits)
Octal 0o43761031
Hexadecimal 0x8FE219

Divisor Catalog (4)

1 19 496,291 9,429,529

Collatz Trajectory (75 steps to reach 1)

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

9,429,529 28,288,588 14,144,294 7,072,147 21,216,442 10,608,221 31,824,664 15,912,332 7,956,166 3,978,083 11,934,250 5,967,125 17,901,376 8,950,688 4,475,344 2,237,672 1,118,836 559,418 279,709 839,128 419,564 209,782 104,891 314,674 157,337 472,012 236,006 118,003 354,010 177,005 531,016 265,508 132,754 66,377 199,132 99,566 49,783 149,350 74,675 224,026 112,013 336,040 168,020 84,010 42,005 126,016 63,008 31,504 15,752 7,876 3,938 1,969 5,908 2,954 1,477 4,432 2,216 1,108 554 277

More profiles

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