832,506

2 × 3 × 89 × 1559

832,506 factors as 2 × 3 × 89 × 1559. Its 16 positive divisors give a proper-divisor sum of 852,294, so this integer is abundant. The Collatz stopping time is 250 steps.

Prime Factor Structure

Factorization String 2 × 3 × 89 × 1559

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,684,800

Proper Divisor Sum 852,294

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #832499 ← → #832519

Radix Representation

Decimal	832506
Binary	11001011001111111010 (20 bits)
Octal	0o3131772
Hexadecimal	0xCB3FA

Divisor Catalog (16)

1 2 3 6 89 178 267 534 1,559 3,118 4,677 9,354 138,751 277,502 416,253 832,506

Collatz Trajectory (250 steps to reach 1)

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

832,506 416,253 1,248,760 624,380 312,190 156,095 468,286 234,143 702,430 351,215 1,053,646 526,823 1,580,470 790,235 2,370,706 1,185,353 3,556,060 1,778,030 889,015 2,667,046 1,333,523 4,000,570 2,000,285 6,000,856 3,000,428 1,500,214 750,107 2,250,322 1,125,161 3,375,484 1,687,742 843,871 2,531,614 1,265,807 3,797,422 1,898,711 5,696,134 2,848,067 8,544,202 4,272,101 12,816,304 6,408,152 3,204,076 1,602,038 801,019 2,403,058 1,201,529 3,604,588 1,802,294 901,147 2,703,442 1,351,721 4,055,164 2,027,582 1,013,791 3,041,374 1,520,687 4,562,062 2,281,031 6,843,094

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