531,052

2² × 132763

531,052 factors as 2^2 × 132763. Its 6 positive divisors give a proper-divisor sum of 398,296, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 132763

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 929,348

Proper Divisor Sum 398,296

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #531043 ← → #531071

Radix Representation

Decimal	531052
Binary	10000001101001101100 (20 bits)
Octal	0o2015154
Hexadecimal	0x81A6C

Divisor Catalog (6)

1 2 4 132,763 265,526 531,052

Collatz Trajectory (133 steps to reach 1)

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

531,052 265,526 132,763 398,290 199,145 597,436 298,718 149,359 448,078 224,039 672,118 336,059 1,008,178 504,089 1,512,268 756,134 378,067 1,134,202 567,101 1,701,304 850,652 425,326 212,663 637,990 318,995 956,986 478,493 1,435,480 717,740 358,870 179,435 538,306 269,153 807,460 403,730 201,865 605,596 302,798 151,399 454,198 227,099 681,298 340,649 1,021,948 510,974 255,487 766,462 383,231 1,149,694 574,847 1,724,542 862,271 2,586,814 1,293,407 3,880,222 1,940,111 5,820,334 2,910,167 8,730,502 4,365,251

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