λ
Harmonic Matrix

6,609,209

17 × 388777
Deficient Odd Composite

6,609,209 has digital root 5. The neighboring primes are 6609191 and 6609221; its proper-divisor sum differs from the starting integer by -6,220,414.

Prime Factor Structure

Factorization String 17 × 388777
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,998,004
Proper Divisor Sum 388,795
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6609191 ← → #6609221

Radix Representation

Decimal 6609209
Binary 11001001101100100111001 (23 bits)
Octal 0o31154471
Hexadecimal 0x64D939

Divisor Catalog (4)

1 17 388,777 6,609,209

Collatz Trajectory (196 steps to reach 1)

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

6,609,209 19,827,628 9,913,814 4,956,907 14,870,722 7,435,361 22,306,084 11,153,042 5,576,521 16,729,564 8,364,782 4,182,391 12,547,174 6,273,587 18,820,762 9,410,381 28,231,144 14,115,572 7,057,786 3,528,893 10,586,680 5,293,340 2,646,670 1,323,335 3,970,006 1,985,003 5,955,010 2,977,505 8,932,516 4,466,258 2,233,129 6,699,388 3,349,694 1,674,847 5,024,542 2,512,271 7,536,814 3,768,407 11,305,222 5,652,611 16,957,834 8,478,917 25,436,752 12,718,376 6,359,188 3,179,594 1,589,797 4,769,392 2,384,696 1,192,348 596,174 298,087 894,262 447,131 1,341,394 670,697 2,012,092 1,006,046 503,023 1,509,070

More profiles

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