λ
Harmonic Matrix

9,493,384

23 × 1186673
Deficient Even Composite

9,493,384 has digital root 4. The neighboring primes are 9493357 and 9493387; its proper-divisor sum differs from the starting integer by -1,186,658.

Prime Factor Structure

Factorization String 2^3 × 1186673
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,800,110
Proper Divisor Sum 8,306,726
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9493357 ← → #9493387

Radix Representation

Decimal 9493384
Binary 100100001101101110001000 (24 bits)
Octal 0o44155610
Hexadecimal 0x90DB88

Divisor Catalog (8)

1 2 4 8 1,186,673 2,373,346 4,746,692 9,493,384

Collatz Trajectory (163 steps to reach 1)

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

9,493,384 4,746,692 2,373,346 1,186,673 3,560,020 1,780,010 890,005 2,670,016 1,335,008 667,504 333,752 166,876 83,438 41,719 125,158 62,579 187,738 93,869 281,608 140,804 70,402 35,201 105,604 52,802 26,401 79,204 39,602 19,801 59,404 29,702 14,851 44,554 22,277 66,832 33,416 16,708 8,354 4,177 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47

More profiles

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