175,775

5² × 79 × 89

175,775 has the prime decomposition 5^2 × 79 × 89. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 79 × 89

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 223,200

Proper Divisor Sum 47,425

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #175759 ← → #175781

Radix Representation

Decimal	175775
Binary	101010111010011111 (18 bits)
Octal	0o527237
Hexadecimal	0x2AE9F

Divisor Catalog (12)

1 5 25 79 89 395 445 1,975 2,225 7,031 35,155 175,775

Collatz Trajectory (209 steps to reach 1)

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

175,775 527,326 263,663 790,990 395,495 1,186,486 593,243 1,779,730 889,865 2,669,596 1,334,798 667,399 2,002,198 1,001,099 3,003,298 1,501,649 4,504,948 2,252,474 1,126,237 3,378,712 1,689,356 844,678 422,339 1,267,018 633,509 1,900,528 950,264 475,132 237,566 118,783 356,350 178,175 534,526 267,263 801,790 400,895 1,202,686 601,343 1,804,030 902,015 2,706,046 1,353,023 4,059,070 2,029,535 6,088,606 3,044,303 9,132,910 4,566,455 13,699,366 6,849,683 20,549,050 10,274,525 30,823,576 15,411,788 7,705,894 3,852,947 11,558,842 5,779,421 17,338,264 8,669,132

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