λ
Harmonic Matrix

7,995,364

22 × 13 × 153757
Deficient Even Composite

7,995,364 has digital root 7. The neighboring primes are 7995349 and 7995373; its proper-divisor sum differs from the starting integer by -922,444.

Prime Factor Structure

Factorization String 2^2 × 13 × 153757
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,068,284
Proper Divisor Sum 7,072,920
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7995349 ← → #7995373

Radix Representation

Decimal 7995364
Binary 11110011111111111100100 (23 bits)
Octal 0o36377744
Hexadecimal 0x79FFE4

Divisor Catalog (12)

1 2 4 13 26 52 153,757 307,514 615,028 1,998,841 3,997,682 7,995,364

Collatz Trajectory (261 steps to reach 1)

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

7,995,364 3,997,682 1,998,841 5,996,524 2,998,262 1,499,131 4,497,394 2,248,697 6,746,092 3,373,046 1,686,523 5,059,570 2,529,785 7,589,356 3,794,678 1,897,339 5,692,018 2,846,009 8,538,028 4,269,014 2,134,507 6,403,522 3,201,761 9,605,284 4,802,642 2,401,321 7,203,964 3,601,982 1,800,991 5,402,974 2,701,487 8,104,462 4,052,231 12,156,694 6,078,347 18,235,042 9,117,521 27,352,564 13,676,282 6,838,141 20,514,424 10,257,212 5,128,606 2,564,303 7,692,910 3,846,455 11,539,366 5,769,683 17,309,050 8,654,525 25,963,576 12,981,788 6,490,894 3,245,447 9,736,342 4,868,171 14,604,514 7,302,257 21,906,772 10,953,386

More profiles

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