λ
Harmonic Matrix

7,123,093

7123093
Deficient Odd Prime

7,123,093 has digital root 7. The neighboring primes are 7123073 and 7123099; its proper-divisor sum differs from the starting integer by -7,123,092.

Prime Factor Structure

Factorization String 7123093
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,123,094
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7123073 ← → #7123099

Radix Representation

Decimal 7123093
Binary 11011001011000010010101 (23 bits)
Octal 0o33130225
Hexadecimal 0x6CB095

Divisor Catalog (2)

Collatz Trajectory (173 steps to reach 1)

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

7,123,093 21,369,280 10,684,640 5,342,320 2,671,160 1,335,580 667,790 333,895 1,001,686 500,843 1,502,530 751,265 2,253,796 1,126,898 563,449 1,690,348 845,174 422,587 1,267,762 633,881 1,901,644 950,822 475,411 1,426,234 713,117 2,139,352 1,069,676 534,838 267,419 802,258 401,129 1,203,388 601,694 300,847 902,542 451,271 1,353,814 676,907 2,030,722 1,015,361 3,046,084 1,523,042 761,521 2,284,564 1,142,282 571,141 1,713,424 856,712 428,356 214,178 107,089 321,268 160,634 80,317 240,952 120,476 60,238 30,119 90,358 45,179

More profiles

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