527,275

5² × 7 × 23 × 131

527,275 is odd and not a perfect square. Its factorization is 5^2 × 7 × 23 × 131 and its 24 divisors sum to 785,664.

Prime Factor Structure

Factorization String 5^2 × 7 × 23 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 785,664

Proper Divisor Sum 258,389

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #527273 ← → #527281

Radix Representation

Decimal	527275
Binary	10000000101110101011 (20 bits)
Octal	0o2005653
Hexadecimal	0x80BAB

Divisor Catalog (24)

1 5 7 23 25 35 115 131 161 175 575 655 805 917 3,013 3,275 4,025 4,585 15,065 21,091 22,925 75,325 105,455 527,275

Collatz Trajectory (125 steps to reach 1)

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

527,275 1,581,826 790,913 2,372,740 1,186,370 593,185 1,779,556 889,778 444,889 1,334,668 667,334 333,667 1,001,002 500,501 1,501,504 750,752 375,376 187,688 93,844 46,922 23,461 70,384 35,192 17,596 8,798 4,399 13,198 6,599 19,798 9,899 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078

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