205,452

2² × 3² × 13 × 439

205,452 factors as 2^2 × 3^2 × 13 × 439. Its 36 positive divisors give a proper-divisor sum of 355,108, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 439

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 560,560

Proper Divisor Sum 355,108

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #205441 ← → #205453

Radix Representation

Decimal	205452
Binary	110010001010001100 (18 bits)
Octal	0o621214
Hexadecimal	0x3228C

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 439 468 878 1,317 1,756 2,634 3,951 5,268 5,707 7,902 11,414 15,804 17,121 22,828 34,242 51,363 68,484 102,726 205,452

Collatz Trajectory (80 steps to reach 1)

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

205,452 102,726 51,363 154,090 77,045 231,136 115,568 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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