λ
Harmonic Matrix

5,528,009

17 × 29 × 11213
Deficient Odd Composite

5,528,009 has digital root 2. The neighboring primes are 5527987 and 5528011; its proper-divisor sum differs from the starting integer by -5,000,458.

Prime Factor Structure

Factorization String 17 × 29 × 11213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,055,560
Proper Divisor Sum 527,551
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5527987 ← → #5528011

Radix Representation

Decimal 5528009
Binary 10101000101100111001001 (23 bits)
Octal 0o25054711
Hexadecimal 0x5459C9

Divisor Catalog (8)

1 17 29 493 11,213 190,621 325,177 5,528,009

Collatz Trajectory (157 steps to reach 1)

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

5,528,009 16,584,028 8,292,014 4,146,007 12,438,022 6,219,011 18,657,034 9,328,517 27,985,552 13,992,776 6,996,388 3,498,194 1,749,097 5,247,292 2,623,646 1,311,823 3,935,470 1,967,735 5,903,206 2,951,603 8,854,810 4,427,405 13,282,216 6,641,108 3,320,554 1,660,277 4,980,832 2,490,416 1,245,208 622,604 311,302 155,651 466,954 233,477 700,432 350,216 175,108 87,554 43,777 131,332 65,666 32,833 98,500 49,250 24,625 73,876 36,938 18,469 55,408 27,704 13,852 6,926 3,463 10,390 5,195 15,586 7,793 23,380 11,690 5,845

More profiles

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