529,675

5² × 21187

529,675 factors as 5^2 × 21187. Its 6 positive divisors give a proper-divisor sum of 127,153, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 5^2 × 21187

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 656,828

Proper Divisor Sum 127,153

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #529673 ← → #529681

Radix Representation

Decimal	529675
Binary	10000001010100001011 (20 bits)
Octal	0o2012413
Hexadecimal	0x8150B

Divisor Catalog (6)

1 5 25 21,187 105,935 529,675

Collatz Trajectory (195 steps to reach 1)

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

529,675 1,589,026 794,513 2,383,540 1,191,770 595,885 1,787,656 893,828 446,914 223,457 670,372 335,186 167,593 502,780 251,390 125,695 377,086 188,543 565,630 282,815 848,446 424,223 1,272,670 636,335 1,909,006 954,503 2,863,510 1,431,755 4,295,266 2,147,633 6,442,900 3,221,450 1,610,725 4,832,176 2,416,088 1,208,044 604,022 302,011 906,034 453,017 1,359,052 679,526 339,763 1,019,290 509,645 1,528,936 764,468 382,234 191,117 573,352 286,676 143,338 71,669 215,008 107,504 53,752 26,876 13,438 6,719 20,158

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