529,965

3² × 5 × 11777

529,965 factors as 3^2 × 5 × 11777. Its 12 positive divisors give a proper-divisor sum of 388,719, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 11777

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 918,684

Proper Divisor Sum 388,719

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #529961 ← → #529973

Radix Representation

Decimal	529965
Binary	10000001011000101101 (20 bits)
Octal	0o2013055
Hexadecimal	0x8162D

Divisor Catalog (12)

1 3 5 9 15 45 11,777 35,331 58,885 105,993 176,655 529,965

Collatz Trajectory (102 steps to reach 1)

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

529,965 1,589,896 794,948 397,474 198,737 596,212 298,106 149,053 447,160 223,580 111,790 55,895 167,686 83,843 251,530 125,765 377,296 188,648 94,324 47,162 23,581 70,744 35,372 17,686 8,843 26,530 13,265 39,796 19,898 9,949 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 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

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