586,591

431 × 1361

586,591 factors as 431 × 1361. Its 4 positive divisors give a proper-divisor sum of 1,793, so this integer is deficient. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 431 × 1361

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 588,384

Proper Divisor Sum 1,793

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #586589 ← → #586601

Radix Representation

Decimal	586591
Binary	10001111001101011111 (20 bits)
Octal	0o2171537
Hexadecimal	0x8F35F

Divisor Catalog (4)

1 431 1,361 586,591

Collatz Trajectory (221 steps to reach 1)

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

586,591 1,759,774 879,887 2,639,662 1,319,831 3,959,494 1,979,747 5,939,242 2,969,621 8,908,864 4,454,432 2,227,216 1,113,608 556,804 278,402 139,201 417,604 208,802 104,401 313,204 156,602 78,301 234,904 117,452 58,726 29,363 88,090 44,045 132,136 66,068 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354

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