562,268

2² × 7 × 43 × 467

562,268 is even and not a perfect square. Its factorization is 2^2 × 7 × 43 × 467 and its 24 divisors sum to 1,153,152.

Prime Factor Structure

Factorization String 2^2 × 7 × 43 × 467

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,153,152

Proper Divisor Sum 590,884

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #562259 ← → #562271

Radix Representation

Decimal	562268
Binary	10001001010001011100 (20 bits)
Octal	0o2112134
Hexadecimal	0x8945C

Divisor Catalog (24)

1 2 4 7 14 28 43 86 172 301 467 602 934 1,204 1,868 3,269 6,538 13,076 20,081 40,162 80,324 140,567 281,134 562,268

Collatz Trajectory (177 steps to reach 1)

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

562,268 281,134 140,567 421,702 210,851 632,554 316,277 948,832 474,416 237,208 118,604 59,302 29,651 88,954 44,477 133,432 66,716 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598

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