586,818

2 × 3³ × 10867

586,818 factors as 2 × 3^3 × 10867. Its 16 positive divisors give a proper-divisor sum of 717,342, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 10867

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,304,160

Proper Divisor Sum 717,342

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #586813 ← → #586819

Radix Representation

Decimal	586818
Binary	10001111010001000010 (20 bits)
Octal	0o2172102
Hexadecimal	0x8F442

Divisor Catalog (16)

1 2 3 6 9 18 27 54 10,867 21,734 32,601 65,202 97,803 195,606 293,409 586,818

Collatz Trajectory (128 steps to reach 1)

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

586,818 293,409 880,228 440,114 220,057 660,172 330,086 165,043 495,130 247,565 742,696 371,348 185,674 92,837 278,512 139,256 69,628 34,814 17,407 52,222 26,111 78,334 39,167 117,502 58,751 176,254 88,127 264,382 132,191 396,574 198,287 594,862 297,431 892,294 446,147 1,338,442 669,221 2,007,664 1,003,832 501,916 250,958 125,479 376,438 188,219 564,658 282,329 846,988 423,494 211,747 635,242 317,621 952,864 476,432 238,216 119,108 59,554 29,777 89,332 44,666 22,333

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