228,052

2² × 11 × 71 × 73

228,052 factors as 2^2 × 11 × 71 × 73. Its 24 positive divisors give a proper-divisor sum of 219,500, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 71 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 447,552

Proper Divisor Sum 219,500

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #228049 ← → #228061

Radix Representation

Decimal	228052
Binary	110111101011010100 (18 bits)
Octal	0o675324
Hexadecimal	0x37AD4

Divisor Catalog (24)

1 2 4 11 22 44 71 73 142 146 284 292 781 803 1,562 1,606 3,124 3,212 5,183 10,366 20,732 57,013 114,026 228,052

Collatz Trajectory (168 steps to reach 1)

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

228,052 114,026 57,013 171,040 85,520 42,760 21,380 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687

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