5,238,590

2 × 5 × 7² × 10691

Starting at 5,238,590, the Collatz iteration reaches 1 after 100 steps. The first transition is 2619295; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 10691

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,969,992

Proper Divisor Sum 5,731,402

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5238581 ← → #5238671

Radix Representation

Decimal	5238590
Binary	10011111110111100111110 (23 bits)
Octal	0o23767476
Hexadecimal	0x4FEF3E

Divisor Catalog (24)

1 2 5 7 10 14 35 49 70 98 245 490 10,691 21,382 53,455 74,837 106,910 149,674 374,185 523,859 748,370 1,047,718 2,619,295 5,238,590

Collatz Trajectory (100 steps to reach 1)

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

5,238,590 2,619,295 7,857,886 3,928,943 11,786,830 5,893,415 17,680,246 8,840,123 26,520,370 13,260,185 39,780,556 19,890,278 9,945,139 29,835,418 14,917,709 44,753,128 22,376,564 11,188,282 5,594,141 16,782,424 8,391,212 4,195,606 2,097,803 6,293,410 3,146,705 9,440,116 4,720,058 2,360,029 7,080,088 3,540,044 1,770,022 885,011 2,655,034 1,327,517 3,982,552 1,991,276 995,638 497,819 1,493,458 746,729 2,240,188 1,120,094 560,047 1,680,142 840,071 2,520,214 1,260,107 3,780,322 1,890,161 5,670,484 2,835,242 1,417,621 4,252,864 2,126,432 1,063,216 531,608 265,804 132,902 66,451 199,354

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