λ
Harmonic Matrix

2,193,007

2193007
Deficient Odd Prime

2,193,007 has digital root 4. The neighboring primes are 2192963 and 2193019; its proper-divisor sum differs from the starting integer by -2,193,006.

Prime Factor Structure

Factorization String 2193007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,193,008
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2192963 ← → #2193019

Radix Representation

Decimal 2193007
Binary 1000010111011001101111 (22 bits)
Octal 0o10273157
Hexadecimal 0x21766F

Divisor Catalog (2)

1 2,193,007

Collatz Trajectory (197 steps to reach 1)

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

2,193,007 6,579,022 3,289,511 9,868,534 4,934,267 14,802,802 7,401,401 22,204,204 11,102,102 5,551,051 16,653,154 8,326,577 24,979,732 12,489,866 6,244,933 18,734,800 9,367,400 4,683,700 2,341,850 1,170,925 3,512,776 1,756,388 878,194 439,097 1,317,292 658,646 329,323 987,970 493,985 1,481,956 740,978 370,489 1,111,468 555,734 277,867 833,602 416,801 1,250,404 625,202 312,601 937,804 468,902 234,451 703,354 351,677 1,055,032 527,516 263,758 131,879 395,638 197,819 593,458 296,729 890,188 445,094 222,547 667,642 333,821 1,001,464 500,732

More profiles

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