λ
Harmonic Matrix

6,224,752

24 × 389047
Deficient Even Composite

6,224,752 has digital root 1. The neighboring primes are 6224747 and 6224753; its proper-divisor sum differs from the starting integer by -389,016.

Prime Factor Structure

Factorization String 2^4 × 389047
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 12,060,488
Proper Divisor Sum 5,835,736
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6224747 ← → #6224753

Radix Representation

Decimal 6224752
Binary 10111101111101101110000 (23 bits)
Octal 0o27575560
Hexadecimal 0x5EFB70

Divisor Catalog (10)

1 2 4 8 16 389,047 778,094 1,556,188 3,112,376 6,224,752

Collatz Trajectory (196 steps to reach 1)

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

6,224,752 3,112,376 1,556,188 778,094 389,047 1,167,142 583,571 1,750,714 875,357 2,626,072 1,313,036 656,518 328,259 984,778 492,389 1,477,168 738,584 369,292 184,646 92,323 276,970 138,485 415,456 207,728 103,864 51,932 25,966 12,983 38,950 19,475 58,426 29,213 87,640 43,820 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586

More profiles

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