λ
Harmonic Matrix

4,740,322

2 × 439 × 5399
Deficient Even Composite

4,740,322 has digital root 4. The neighboring primes are 4740319 and 4740349; its proper-divisor sum differs from the starting integer by -2,352,644.

Prime Factor Structure

Factorization String 2 × 439 × 5399
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,128,000
Proper Divisor Sum 2,387,678
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4740319 ← → #4740349

Radix Representation

Decimal 4740322
Binary 10010000101010011100010 (23 bits)
Octal 0o22052342
Hexadecimal 0x4854E2

Divisor Catalog (8)

1 2 439 878 5,399 10,798 2,370,161 4,740,322

Collatz Trajectory (193 steps to reach 1)

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

4,740,322 2,370,161 7,110,484 3,555,242 1,777,621 5,332,864 2,666,432 1,333,216 666,608 333,304 166,652 83,326 41,663 124,990 62,495 187,486 93,743 281,230 140,615 421,846 210,923 632,770 316,385 949,156 474,578 237,289 711,868 355,934 177,967 533,902 266,951 800,854 400,427 1,201,282 600,641 1,801,924 900,962 450,481 1,351,444 675,722 337,861 1,013,584 506,792 253,396 126,698 63,349 190,048 95,024 47,512 23,756 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012

More profiles

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