λ
Harmonic Matrix

9,408,184

23 × 1176023
Deficient Even Composite

9,408,184 has digital root 7. The neighboring primes are 9408169 and 9408187; its proper-divisor sum differs from the starting integer by -1,176,008.

Prime Factor Structure

Factorization String 2^3 × 1176023
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,640,360
Proper Divisor Sum 8,232,176
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9408169 ← → #9408187

Radix Representation

Decimal 9408184
Binary 100011111000111010111000 (24 bits)
Octal 0o43707270
Hexadecimal 0x8F8EB8

Divisor Catalog (8)

1 2 4 8 1,176,023 2,352,046 4,704,092 9,408,184

Collatz Trajectory (150 steps to reach 1)

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

9,408,184 4,704,092 2,352,046 1,176,023 3,528,070 1,764,035 5,292,106 2,646,053 7,938,160 3,969,080 1,984,540 992,270 496,135 1,488,406 744,203 2,232,610 1,116,305 3,348,916 1,674,458 837,229 2,511,688 1,255,844 627,922 313,961 941,884 470,942 235,471 706,414 353,207 1,059,622 529,811 1,589,434 794,717 2,384,152 1,192,076 596,038 298,019 894,058 447,029 1,341,088 670,544 335,272 167,636 83,818 41,909 125,728 62,864 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658

More profiles

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