λ
Harmonic Matrix

8,518,529

41 × 207769
Deficient Odd Composite

8,518,529 has digital root 2. The neighboring primes are 8518519 and 8518541; its proper-divisor sum differs from the starting integer by -8,310,718.

Prime Factor Structure

Factorization String 41 × 207769
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,726,340
Proper Divisor Sum 207,811
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8518519 ← → #8518541

Radix Representation

Decimal 8518529
Binary 100000011111101110000001 (24 bits)
Octal 0o40375601
Hexadecimal 0x81FB81

Divisor Catalog (4)

1 41 207,769 8,518,529

Collatz Trajectory (199 steps to reach 1)

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

8,518,529 25,555,588 12,777,794 6,388,897 19,166,692 9,583,346 4,791,673 14,375,020 7,187,510 3,593,755 10,781,266 5,390,633 16,171,900 8,085,950 4,042,975 12,128,926 6,064,463 18,193,390 9,096,695 27,290,086 13,645,043 40,935,130 20,467,565 61,402,696 30,701,348 15,350,674 7,675,337 23,026,012 11,513,006 5,756,503 17,269,510 8,634,755 25,904,266 12,952,133 38,856,400 19,428,200 9,714,100 4,857,050 2,428,525 7,285,576 3,642,788 1,821,394 910,697 2,732,092 1,366,046 683,023 2,049,070 1,024,535 3,073,606 1,536,803 4,610,410 2,305,205 6,915,616 3,457,808 1,728,904 864,452 432,226 216,113 648,340 324,170

More profiles

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