λ
Harmonic Matrix

4,438,843

4438843
Deficient Odd Prime

4,438,843 has digital root 7. The neighboring primes are 4438831 and 4438867; its proper-divisor sum differs from the starting integer by -4,438,842.

Prime Factor Structure

Factorization String 4438843
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,438,844
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4438831 ← → #4438867

Radix Representation

Decimal 4438843
Binary 10000111011101100111011 (23 bits)
Octal 0o20735473
Hexadecimal 0x43BB3B

Divisor Catalog (2)

Collatz Trajectory (286 steps to reach 1)

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

4,438,843 13,316,530 6,658,265 19,974,796 9,987,398 4,993,699 14,981,098 7,490,549 22,471,648 11,235,824 5,617,912 2,808,956 1,404,478 702,239 2,106,718 1,053,359 3,160,078 1,580,039 4,740,118 2,370,059 7,110,178 3,555,089 10,665,268 5,332,634 2,666,317 7,998,952 3,999,476 1,999,738 999,869 2,999,608 1,499,804 749,902 374,951 1,124,854 562,427 1,687,282 843,641 2,530,924 1,265,462 632,731 1,898,194 949,097 2,847,292 1,423,646 711,823 2,135,470 1,067,735 3,203,206 1,601,603 4,804,810 2,402,405 7,207,216 3,603,608 1,801,804 900,902 450,451 1,351,354 675,677 2,027,032 1,013,516

More profiles

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