557,172

2² × 3³ × 7 × 11 × 67

557,172 has the prime decomposition 2^2 × 3^3 × 7 × 11 × 67. Its 5 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 11 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,827,840

Proper Divisor Sum 1,270,668

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #557159 ← → #557197

Radix Representation

Decimal	557172
Binary	10001000000001110100 (20 bits)
Octal	0o2100164
Hexadecimal	0x88074

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 67 77 84 99 108 126 132 134 154 189 198 201 231 252 268 297 308 378 396 402 462 469 594 603 693 737 756 804 924 938 1,188 1,206 1,386 1,407 1,474 1,809 1,876 2,079

Collatz Trajectory (177 steps to reach 1)

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

557,172 278,586 139,293 417,880 208,940 104,470 52,235 156,706 78,353 235,060 117,530 58,765 176,296 88,148 44,074 22,037 66,112 33,056 16,528 8,264 4,132 2,066 1,033 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554

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