579,807

3² × 23 × 2801

579,807 factors as 3^2 × 23 × 2801. Its 12 positive divisors give a proper-divisor sum of 294,417, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 2801

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 874,224

Proper Divisor Sum 294,417

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #579779 ← → #579809

Radix Representation

Decimal	579807
Binary	10001101100011011111 (20 bits)
Octal	0o2154337
Hexadecimal	0x8D8DF

Divisor Catalog (12)

1 3 9 23 69 207 2,801 8,403 25,209 64,423 193,269 579,807

Collatz Trajectory (97 steps to reach 1)

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

579,807 1,739,422 869,711 2,609,134 1,304,567 3,913,702 1,956,851 5,870,554 2,935,277 8,805,832 4,402,916 2,201,458 1,100,729 3,302,188 1,651,094 825,547 2,476,642 1,238,321 3,714,964 1,857,482 928,741 2,786,224 1,393,112 696,556 348,278 174,139 522,418 261,209 783,628 391,814 195,907 587,722 293,861 881,584 440,792 220,396 110,198 55,099 165,298 82,649 247,948 123,974 61,987 185,962 92,981 278,944 139,472 69,736 34,868 17,434 8,717 26,152 13,076 6,538 3,269 9,808 4,904 2,452 1,226 613

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