λ
Harmonic Matrix

528,698

2 × 264349
Deficient Even Composite

528,698 has digital root 2. The neighboring primes are 528691 and 528707; its proper-divisor sum differs from the starting integer by -264,346.

Prime Factor Structure

Factorization String 2 × 264349
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 793,050
Proper Divisor Sum 264,352
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #528691 ← → #528707

Radix Representation

Decimal 528698
Binary 10000001000100111010 (20 bits)
Octal 0o2010472
Hexadecimal 0x8113A

Divisor Catalog (4)

1 2 264,349 528,698

Collatz Trajectory (71 steps to reach 1)

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

528,698 264,349 793,048 396,524 198,262 99,131 297,394 148,697 446,092 223,046 111,523 334,570 167,285 501,856 250,928 125,464 62,732 31,366 15,683 47,050 23,525 70,576 35,288 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17

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