λ
Harmonic Matrix

9,336,729

3 × 347 × 8969
Deficient Odd Composite

9,336,729 has digital root 3. The neighboring primes are 9336727 and 9336739; its proper-divisor sum differs from the starting integer by -6,187,218.

Prime Factor Structure

Factorization String 3 × 347 × 8969
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,486,240
Proper Divisor Sum 3,149,511
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9336727 ← → #9336739

Radix Representation

Decimal 9336729
Binary 100011100111011110011001 (24 bits)
Octal 0o43473631
Hexadecimal 0x8E7799

Divisor Catalog (8)

1 3 347 1,041 8,969 26,907 3,112,243 9,336,729

Collatz Trajectory (194 steps to reach 1)

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

9,336,729 28,010,188 14,005,094 7,002,547 21,007,642 10,503,821 31,511,464 15,755,732 7,877,866 3,938,933 11,816,800 5,908,400 2,954,200 1,477,100 738,550 369,275 1,107,826 553,913 1,661,740 830,870 415,435 1,246,306 623,153 1,869,460 934,730 467,365 1,402,096 701,048 350,524 175,262 87,631 262,894 131,447 394,342 197,171 591,514 295,757 887,272 443,636 221,818 110,909 332,728 166,364 83,182 41,591 124,774 62,387 187,162 93,581 280,744 140,372 70,186 35,093 105,280 52,640 26,320 13,160 6,580 3,290 1,645

More profiles

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