λ
Harmonic Matrix

4,028,441

4028441
Deficient Odd Prime

4,028,441 has digital root 5. The neighboring primes are 4028429 and 4028471; its proper-divisor sum differs from the starting integer by -4,028,440.

Prime Factor Structure

Factorization String 4028441
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,028,442
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4028429 ← → #4028471

Radix Representation

Decimal 4028441
Binary 1111010111100000011001 (22 bits)
Octal 0o17274031
Hexadecimal 0x3D7819

Divisor Catalog (2)

Collatz Trajectory (185 steps to reach 1)

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

4,028,441 12,085,324 6,042,662 3,021,331 9,063,994 4,531,997 13,595,992 6,797,996 3,398,998 1,699,499 5,098,498 2,549,249 7,647,748 3,823,874 1,911,937 5,735,812 2,867,906 1,433,953 4,301,860 2,150,930 1,075,465 3,226,396 1,613,198 806,599 2,419,798 1,209,899 3,629,698 1,814,849 5,444,548 2,722,274 1,361,137 4,083,412 2,041,706 1,020,853 3,062,560 1,531,280 765,640 382,820 191,410 95,705 287,116 143,558 71,779 215,338 107,669 323,008 161,504 80,752 40,376 20,188 10,094 5,047 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259

More profiles

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