988,175

5² × 29² × 47

988,175 has the prime decomposition 5^2 × 29^2 × 47. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 29^2 × 47

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,296,048

Proper Divisor Sum 307,873

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #988157 ← → #988199

Radix Representation

Decimal	988175
Binary	11110001010000001111 (20 bits)
Octal	0o3612017
Hexadecimal	0xF140F

Divisor Catalog (18)

1 5 25 29 47 145 235 725 841 1,175 1,363 4,205 6,815 21,025 34,075 39,527 197,635 988,175

Collatz Trajectory (183 steps to reach 1)

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

988,175 2,964,526 1,482,263 4,446,790 2,223,395 6,670,186 3,335,093 10,005,280 5,002,640 2,501,320 1,250,660 625,330 312,665 937,996 468,998 234,499 703,498 351,749 1,055,248 527,624 263,812 131,906 65,953 197,860 98,930 49,465 148,396 74,198 37,099 111,298 55,649 166,948 83,474 41,737 125,212 62,606 31,303 93,910 46,955 140,866 70,433 211,300 105,650 52,825 158,476 79,238 39,619 118,858 59,429 178,288 89,144 44,572 22,286 11,143 33,430 16,715 50,146 25,073 75,220 37,610

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