λ
Harmonic Matrix

2,722,450

2 × 52 × 54449
Deficient Even Composite

2,722,450 has digital root 4. The neighboring primes are 2722439 and 2722457; its proper-divisor sum differs from the starting integer by -381,050.

Prime Factor Structure

Factorization String 2 × 5^2 × 54449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,063,850
Proper Divisor Sum 2,341,400
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2722439 ← → #2722457

Radix Representation

Decimal 2722450
Binary 1010011000101010010010 (22 bits)
Octal 0o12305222
Hexadecimal 0x298A92

Divisor Catalog (12)

1 2 5 10 25 50 54,449 108,898 272,245 544,490 1,361,225 2,722,450

Collatz Trajectory (156 steps to reach 1)

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

2,722,450 1,361,225 4,083,676 2,041,838 1,020,919 3,062,758 1,531,379 4,594,138 2,297,069 6,891,208 3,445,604 1,722,802 861,401 2,584,204 1,292,102 646,051 1,938,154 969,077 2,907,232 1,453,616 726,808 363,404 181,702 90,851 272,554 136,277 408,832 204,416 102,208 51,104 25,552 12,776 6,388 3,194 1,597 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485

More profiles

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