λ
Harmonic Matrix

4,404,123

32 × 571 × 857
Deficient Odd Composite

4,404,123 has digital root 9. The neighboring primes are 4404121 and 4404133; its proper-divisor sum differs from the starting integer by -2,428,158.

Prime Factor Structure

Factorization String 3^2 × 571 × 857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,380,088
Proper Divisor Sum 1,975,965
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4404121 ← → #4404133

Radix Representation

Decimal 4404123
Binary 10000110011001110011011 (23 bits)
Octal 0o20631633
Hexadecimal 0x43339B

Divisor Catalog (12)

1 3 9 571 857 1,713 2,571 5,139 7,713 489,347 1,468,041 4,404,123

Collatz Trajectory (198 steps to reach 1)

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

4,404,123 13,212,370 6,606,185 19,818,556 9,909,278 4,954,639 14,863,918 7,431,959 22,295,878 11,147,939 33,443,818 16,721,909 50,165,728 25,082,864 12,541,432 6,270,716 3,135,358 1,567,679 4,703,038 2,351,519 7,054,558 3,527,279 10,581,838 5,290,919 15,872,758 7,936,379 23,809,138 11,904,569 35,713,708 17,856,854 8,928,427 26,785,282 13,392,641 40,177,924 20,088,962 10,044,481 30,133,444 15,066,722 7,533,361 22,600,084 11,300,042 5,650,021 16,950,064 8,475,032 4,237,516 2,118,758 1,059,379 3,178,138 1,589,069 4,767,208 2,383,604 1,191,802 595,901 1,787,704 893,852 446,926 223,463 670,390 335,195 1,005,586

More profiles

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