λ
Harmonic Matrix

5,225,388

22 × 3 × 7 × 62207
Abundant Even Composite

5,225,388 has digital root 6. The neighboring primes are 5225383 and 5225401; its proper-divisor sum differs from the starting integer by 3,483,816.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 62207
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,934,592
Proper Divisor Sum 8,709,204
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5225383 ← → #5225401

Radix Representation

Decimal 5225388
Binary 10011111011101110101100 (23 bits)
Octal 0o23735654
Hexadecimal 0x4FBBAC

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 62,207 124,414 186,621 248,828 373,242 435,449 746,484 870,898 1,306,347 1,741,796 2,612,694 5,225,388

Collatz Trajectory (188 steps to reach 1)

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

5,225,388 2,612,694 1,306,347 3,919,042 1,959,521 5,878,564 2,939,282 1,469,641 4,408,924 2,204,462 1,102,231 3,306,694 1,653,347 4,960,042 2,480,021 7,440,064 3,720,032 1,860,016 930,008 465,004 232,502 116,251 348,754 174,377 523,132 261,566 130,783 392,350 196,175 588,526 294,263 882,790 441,395 1,324,186 662,093 1,986,280 993,140 496,570 248,285 744,856 372,428 186,214 93,107 279,322 139,661 418,984 209,492 104,746 52,373 157,120 78,560 39,280 19,640 9,820 4,910 2,455 7,366 3,683 11,050 5,525

More profiles

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