λ
Integer Codex

3,089,619

32 × 13 × 26407
Deficient Odd Composite

For 3,089,619, the 12 positive divisors have a total of 4,806,256. Removing 3,089,619 leaves 1,716,637, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 13 × 26407
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,806,256
Proper Divisor Sum 1,716,637
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3089591 ← → #3089621

Radix Representation

Decimal 3089619
Binary 1011110010010011010011 (22 bits)
Octal 0o13622323
Hexadecimal 0x2F24D3

Divisor Catalog (12)

1 3 9 13 39 117 26,407 79,221 237,663 343,291 1,029,873 3,089,619

Collatz Trajectory (332 steps to reach 1)

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

3,089,619 9,268,858 4,634,429 13,903,288 6,951,644 3,475,822 1,737,911 5,213,734 2,606,867 7,820,602 3,910,301 11,730,904 5,865,452 2,932,726 1,466,363 4,399,090 2,199,545 6,598,636 3,299,318 1,649,659 4,948,978 2,474,489 7,423,468 3,711,734 1,855,867 5,567,602 2,783,801 8,351,404 4,175,702 2,087,851 6,263,554 3,131,777 9,395,332 4,697,666 2,348,833 7,046,500 3,523,250 1,761,625 5,284,876 2,642,438 1,321,219 3,963,658 1,981,829 5,945,488 2,972,744 1,486,372 743,186 371,593 1,114,780 557,390 278,695 836,086 418,043 1,254,130 627,065 1,881,196 940,598 470,299 1,410,898 705,449

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