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857,532

22 × 3 × 13 × 23 × 239
Abundant Even Composite

857,532 factors as 2^2 × 3 × 13 × 23 × 239. Its 48 positive divisors give a proper-divisor sum of 1,400,388, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 23 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,257,920
Proper Divisor Sum 1,400,388
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #857513 ← → #857539

Radix Representation

Decimal 857532
Binary 11010001010110111100 (20 bits)
Octal 0o3212674
Hexadecimal 0xD15BC

Divisor Catalog (48)

1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 239 276 299 478 598 717 897 956 1,196 1,434 1,794 2,868 3,107 3,588 5,497 6,214 9,321 10,994 12,428 16,491 18,642 21,988 32,982 37,284 65,964 71,461 142,922 214,383 285,844 428,766 857,532

Collatz Trajectory (232 steps to reach 1)

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

857,532 428,766 214,383 643,150 321,575 964,726 482,363 1,447,090 723,545 2,170,636 1,085,318 542,659 1,627,978 813,989 2,441,968 1,220,984 610,492 305,246 152,623 457,870 228,935 686,806 343,403 1,030,210 515,105 1,545,316 772,658 386,329 1,158,988 579,494 289,747 869,242 434,621 1,303,864 651,932 325,966 162,983 488,950 244,475 733,426 366,713 1,100,140 550,070 275,035 825,106 412,553 1,237,660 618,830 309,415 928,246 464,123 1,392,370 696,185 2,088,556 1,044,278 522,139 1,566,418 783,209 2,349,628 1,174,814

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