λ
Harmonic Matrix

5,648,684

22 × 1412171
Deficient Even Composite

5,648,684 has digital root 5. The neighboring primes are 5648683 and 5648717; its proper-divisor sum differs from the starting integer by -1,412,164.

Prime Factor Structure

Factorization String 2^2 × 1412171
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,885,204
Proper Divisor Sum 4,236,520
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5648683 ← → #5648717

Radix Representation

Decimal 5648684
Binary 10101100011000100101100 (23 bits)
Octal 0o25430454
Hexadecimal 0x56312C

Divisor Catalog (6)

1 2 4 1,412,171 2,824,342 5,648,684

Collatz Trajectory (108 steps to reach 1)

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

5,648,684 2,824,342 1,412,171 4,236,514 2,118,257 6,354,772 3,177,386 1,588,693 4,766,080 2,383,040 1,191,520 595,760 297,880 148,940 74,470 37,235 111,706 55,853 167,560 83,780 41,890 20,945 62,836 31,418 15,709 47,128 23,564 11,782 5,891 17,674 8,837 26,512 13,256 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998

More profiles

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