λ
Harmonic Matrix

5,197,772

22 × 239 × 5437
Deficient Even Composite

5,197,772 has digital root 2. The neighboring primes are 5197771 and 5197781; its proper-divisor sum differs from the starting integer by -1,259,704.

Prime Factor Structure

Factorization String 2^2 × 239 × 5437
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,135,840
Proper Divisor Sum 3,938,068
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5197771 ← → #5197781

Radix Representation

Decimal 5197772
Binary 10011110100111111001100 (23 bits)
Octal 0o23647714
Hexadecimal 0x4F4FCC

Divisor Catalog (12)

1 2 4 239 478 956 5,437 10,874 21,748 1,299,443 2,598,886 5,197,772

Collatz Trajectory (100 steps to reach 1)

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

5,197,772 2,598,886 1,299,443 3,898,330 1,949,165 5,847,496 2,923,748 1,461,874 730,937 2,192,812 1,096,406 548,203 1,644,610 822,305 2,466,916 1,233,458 616,729 1,850,188 925,094 462,547 1,387,642 693,821 2,081,464 1,040,732 520,366 260,183 780,550 390,275 1,170,826 585,413 1,756,240 878,120 439,060 219,530 109,765 329,296 164,648 82,324 41,162 20,581 61,744 30,872 15,436 7,718 3,859 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498

More profiles

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