533,120

2⁷ × 5 × 7² × 17

Prime Factor Structure

Factorization String 2^7 × 5 × 7^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,569,780

Proper Divisor Sum 1,036,660

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #533111 ← → #533129

Radix Representation

Decimal	533120
Binary	10000010001010000000 (20 bits)
Octal	0o2021200
Hexadecimal	0x82280

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 49 56 64 68 70 80 85 98 112 119 128 136 140 160 170 196 224 238 245 272 280 320 340 392 448 476 490 544 560 595 640 680 784 833 896 952 980 1,088 1,120 1,190 1,360 1,568 1,666 1,904

Collatz Trajectory (133 steps to reach 1)

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

533,120 266,560 133,280 66,640 33,320 16,660 8,330 4,165 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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