λ
Harmonic Matrix

6,521,197

6521197
Deficient Odd Prime

6,521,197 has digital root 4. The neighboring primes are 6521153 and 6521209; its proper-divisor sum differs from the starting integer by -6,521,196.

Prime Factor Structure

Factorization String 6521197
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,521,198
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6521153 ← → #6521209

Radix Representation

Decimal 6521197
Binary 11000111000000101101101 (23 bits)
Octal 0o30700555
Hexadecimal 0x63816D

Divisor Catalog (2)

Collatz Trajectory (178 steps to reach 1)

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

6,521,197 19,563,592 9,781,796 4,890,898 2,445,449 7,336,348 3,668,174 1,834,087 5,502,262 2,751,131 8,253,394 4,126,697 12,380,092 6,190,046 3,095,023 9,285,070 4,642,535 13,927,606 6,963,803 20,891,410 10,445,705 31,337,116 15,668,558 7,834,279 23,502,838 11,751,419 35,254,258 17,627,129 52,881,388 26,440,694 13,220,347 39,661,042 19,830,521 59,491,564 29,745,782 14,872,891 44,618,674 22,309,337 66,928,012 33,464,006 16,732,003 50,196,010 25,098,005 75,294,016 37,647,008 18,823,504 9,411,752 4,705,876 2,352,938 1,176,469 3,529,408 1,764,704 882,352 441,176 220,588 110,294 55,147 165,442 82,721 248,164

More profiles

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