λ
Harmonic Matrix

6,611,749

181 × 36529
Deficient Odd Composite

6,611,749 has digital root 7. The neighboring primes are 6611707 and 6611777; its proper-divisor sum differs from the starting integer by -6,575,038.

Prime Factor Structure

Factorization String 181 × 36529
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,648,460
Proper Divisor Sum 36,711
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6611707 ← → #6611777

Radix Representation

Decimal 6611749
Binary 11001001110001100100101 (23 bits)
Octal 0o31161445
Hexadecimal 0x64E325

Divisor Catalog (4)

1 181 36,529 6,611,749

Collatz Trajectory (85 steps to reach 1)

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

6,611,749 19,835,248 9,917,624 4,958,812 2,479,406 1,239,703 3,719,110 1,859,555 5,578,666 2,789,333 8,368,000 4,184,000 2,092,000 1,046,000 523,000 261,500 130,750 65,375 196,126 98,063 294,190 147,095 441,286 220,643 661,930 330,965 992,896 496,448 248,224 124,112 62,056 31,028 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196

More profiles

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