5,125,270

2 × 5 × 397 × 1291

Starting at 5,125,270, the Collatz iteration reaches 1 after 188 steps. The first transition is 2562635; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 397 × 1291

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,255,888

Proper Divisor Sum 4,130,618

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #5125247 ← → #5125273

Radix Representation

Decimal	5125270
Binary	10011100011010010010110 (23 bits)
Octal	0o23432226
Hexadecimal	0x4E3496

Divisor Catalog (16)

1 2 5 10 397 794 1,291 1,985 2,582 3,970 6,455 12,910 512,527 1,025,054 2,562,635 5,125,270

Collatz Trajectory (188 steps to reach 1)

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

5,125,270 2,562,635 7,687,906 3,843,953 11,531,860 5,765,930 2,882,965 8,648,896 4,324,448 2,162,224 1,081,112 540,556 270,278 135,139 405,418 202,709 608,128 304,064 152,032 76,016 38,008 19,004 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525

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