λ
Harmonic Matrix

9,567,089

7 × 19 × 71933
Deficient Odd Composite

9,567,089 has digital root 8. The neighboring primes are 9567079 and 9567101; its proper-divisor sum differs from the starting integer by -7,624,738.

Prime Factor Structure

Factorization String 7 × 19 × 71933
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,509,440
Proper Divisor Sum 1,942,351
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9567079 ← → #9567101

Radix Representation

Decimal 9567089
Binary 100100011111101101110001 (24 bits)
Octal 0o44375561
Hexadecimal 0x91FB71

Divisor Catalog (8)

1 7 19 133 71,933 503,531 1,366,727 9,567,089

Collatz Trajectory (194 steps to reach 1)

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

9,567,089 28,701,268 14,350,634 7,175,317 21,525,952 10,762,976 5,381,488 2,690,744 1,345,372 672,686 336,343 1,009,030 504,515 1,513,546 756,773 2,270,320 1,135,160 567,580 283,790 141,895 425,686 212,843 638,530 319,265 957,796 478,898 239,449 718,348 359,174 179,587 538,762 269,381 808,144 404,072 202,036 101,018 50,509 151,528 75,764 37,882 18,941 56,824 28,412 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689

More profiles

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