λ
Harmonic Matrix

5,243,391

32 × 683 × 853
Deficient Odd Composite

5,243,391 has digital root 9. The neighboring primes are 5243387 and 5243393; its proper-divisor sum differs from the starting integer by -2,893,014.

Prime Factor Structure

Factorization String 3^2 × 683 × 853
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,593,768
Proper Divisor Sum 2,350,377
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5243387 ← → #5243393

Radix Representation

Decimal 5243391
Binary 10100000000000111111111 (23 bits)
Octal 0o24000777
Hexadecimal 0x5001FF

Divisor Catalog (12)

1 3 9 683 853 2,049 2,559 6,147 7,677 582,599 1,747,797 5,243,391

Collatz Trajectory (250 steps to reach 1)

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

5,243,391 15,730,174 7,865,087 23,595,262 11,797,631 35,392,894 17,696,447 53,089,342 26,544,671 79,634,014 39,817,007 119,451,022 59,725,511 179,176,534 89,588,267 268,764,802 134,382,401 403,147,204 201,573,602 100,786,801 302,360,404 151,180,202 75,590,101 226,770,304 113,385,152 56,692,576 28,346,288 14,173,144 7,086,572 3,543,286 1,771,643 5,314,930 2,657,465 7,972,396 3,986,198 1,993,099 5,979,298 2,989,649 8,968,948 4,484,474 2,242,237 6,726,712 3,363,356 1,681,678 840,839 2,522,518 1,261,259 3,783,778 1,891,889 5,675,668 2,837,834 1,418,917 4,256,752 2,128,376 1,064,188 532,094 266,047 798,142 399,071 1,197,214

More profiles

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