λ
Harmonic Matrix

7,309,241

97 × 75353
Deficient Odd Composite

7,309,241 has digital root 8. The neighboring primes are 7309223 and 7309249; its proper-divisor sum differs from the starting integer by -7,233,790.

Prime Factor Structure

Factorization String 97 × 75353
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,384,692
Proper Divisor Sum 75,451
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7309223 ← → #7309249

Radix Representation

Decimal 7309241
Binary 11011111000011110111001 (23 bits)
Octal 0o33703671
Hexadecimal 0x6F87B9

Divisor Catalog (4)

1 97 75,353 7,309,241

Collatz Trajectory (204 steps to reach 1)

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

7,309,241 21,927,724 10,963,862 5,481,931 16,445,794 8,222,897 24,668,692 12,334,346 6,167,173 18,501,520 9,250,760 4,625,380 2,312,690 1,156,345 3,469,036 1,734,518 867,259 2,601,778 1,300,889 3,902,668 1,951,334 975,667 2,927,002 1,463,501 4,390,504 2,195,252 1,097,626 548,813 1,646,440 823,220 411,610 205,805 617,416 308,708 154,354 77,177 231,532 115,766 57,883 173,650 86,825 260,476 130,238 65,119 195,358 97,679 293,038 146,519 439,558 219,779 659,338 329,669 989,008 494,504 247,252 123,626 61,813 185,440 92,720 46,360

More profiles

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