589,809

3 × 11 × 61 × 293

589,809 factors as 3 × 11 × 61 × 293. Its 16 positive divisors give a proper-divisor sum of 285,135, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3 × 11 × 61 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 874,944

Proper Divisor Sum 285,135

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #589807 ← → #589811

Radix Representation

Decimal	589809
Binary	10001111111111110001 (20 bits)
Octal	0o2177761
Hexadecimal	0x8FFF1

Divisor Catalog (16)

1 3 11 33 61 183 293 671 879 2,013 3,223 9,669 17,873 53,619 196,603 589,809

Collatz Trajectory (159 steps to reach 1)

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

589,809 1,769,428 884,714 442,357 1,327,072 663,536 331,768 165,884 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161 2,391,484 1,195,742 597,871 1,793,614 896,807 2,690,422 1,345,211 4,035,634 2,017,817 6,053,452 3,026,726 1,513,363 4,540,090 2,270,045 6,810,136 3,405,068 1,702,534 851,267 2,553,802 1,276,901 3,830,704 1,915,352 957,676 478,838 239,419 718,258 359,129 1,077,388 538,694 269,347 808,042

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