λ
Integer Codex

529,698

2 × 3 × 13 × 6791
Abundant Even Composite

For 529,698, the 16 positive divisors have a total of 1,141,056. Removing 529,698 leaves 611,358, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 6791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,141,056
Proper Divisor Sum 611,358
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #529693 ← → #529709

Radix Representation

Decimal 529698
Binary 10000001010100100010 (20 bits)
Octal 0o2012442
Hexadecimal 0x81522

Divisor Catalog (16)

1 2 3 6 13 26 39 78 6,791 13,582 20,373 40,746 88,283 176,566 264,849 529,698

Collatz Trajectory (102 steps to reach 1)

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

529,698 264,849 794,548 397,274 198,637 595,912 297,956 148,978 74,489 223,468 111,734 55,867 167,602 83,801 251,404 125,702 62,851 188,554 94,277 282,832 141,416 70,708 35,354 17,677 53,032 26,516 13,258 6,629 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562

More profiles

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