5,090,582

2 × 7 × 17 × 73 × 293

Starting at 5,090,582, the Collatz iteration reaches 1 after 281 steps. The first transition is 2545291; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 73 × 293

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,398,592

Proper Divisor Sum 4,308,010

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5090563 ← → #5090587

Radix Representation

Decimal	5090582
Binary	10011011010110100010110 (23 bits)
Octal	0o23326426
Hexadecimal	0x4DAD16

Divisor Catalog (32)

1 2 7 14 17 34 73 119 146 238 293 511 586 1,022 1,241 2,051 2,482 4,102 4,981 8,687 9,962 17,374 21,389 34,867 42,778 69,734 149,723 299,446 363,613 727,226 2,545,291 5,090,582

Collatz Trajectory (281 steps to reach 1)

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

5,090,582 2,545,291 7,635,874 3,817,937 11,453,812 5,726,906 2,863,453 8,590,360 4,295,180 2,147,590 1,073,795 3,221,386 1,610,693 4,832,080 2,416,040 1,208,020 604,010 302,005 906,016 453,008 226,504 113,252 56,626 28,313 84,940 42,470 21,235 63,706 31,853 95,560 47,780 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226 86,113 258,340 129,170 64,585 193,756

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