λ
Harmonic Matrix

6,613,325

52 × 113 × 2341
Deficient Odd Composite

6,613,325 has digital root 8. The neighboring primes are 6613319 and 6613331; its proper-divisor sum differs from the starting integer by -4,950,022.

Prime Factor Structure

Factorization String 5^2 × 113 × 2341
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,276,628
Proper Divisor Sum 1,663,303
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6613319 ← → #6613331

Radix Representation

Decimal 6613325
Binary 11001001110100101001101 (23 bits)
Octal 0o31164515
Hexadecimal 0x64E94D

Divisor Catalog (12)

1 5 25 113 565 2,341 2,825 11,705 58,525 264,533 1,322,665 6,613,325

Collatz Trajectory (209 steps to reach 1)

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

6,613,325 19,839,976 9,919,988 4,959,994 2,479,997 7,439,992 3,719,996 1,859,998 929,999 2,789,998 1,394,999 4,184,998 2,092,499 6,277,498 3,138,749 9,416,248 4,708,124 2,354,062 1,177,031 3,531,094 1,765,547 5,296,642 2,648,321 7,944,964 3,972,482 1,986,241 5,958,724 2,979,362 1,489,681 4,469,044 2,234,522 1,117,261 3,351,784 1,675,892 837,946 418,973 1,256,920 628,460 314,230 157,115 471,346 235,673 707,020 353,510 176,755 530,266 265,133 795,400 397,700 198,850 99,425 298,276 149,138 74,569 223,708 111,854 55,927 167,782 83,891 251,674

More profiles

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