5,125,791

3 × 11 × 155327

Starting at 5,125,791, the Collatz iteration reaches 1 after 131 steps. The first transition is 15377374; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 155327

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,455,744

Proper Divisor Sum 2,329,953

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5125787 ← → #5125807

Radix Representation

Decimal	5125791
Binary	10011100011011010011111 (23 bits)
Octal	0o23433237
Hexadecimal	0x4E369F

Divisor Catalog (8)

1 3 11 33 155,327 465,981 1,708,597 5,125,791

Collatz Trajectory (131 steps to reach 1)

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

5,125,791 15,377,374 7,688,687 23,066,062 11,533,031 34,599,094 17,299,547 51,898,642 25,949,321 77,847,964 38,923,982 19,461,991 58,385,974 29,192,987 87,578,962 43,789,481 131,368,444 65,684,222 32,842,111 98,526,334 49,263,167 147,789,502 73,894,751 221,684,254 110,842,127 332,526,382 166,263,191 498,789,574 249,394,787 748,184,362 374,092,181 1,122,276,544 561,138,272 280,569,136 140,284,568 70,142,284 35,071,142 17,535,571 52,606,714 26,303,357 78,910,072 39,455,036 19,727,518 9,863,759 29,591,278 14,795,639 44,386,918 22,193,459 66,580,378 33,290,189 99,870,568 49,935,284 24,967,642 12,483,821 37,451,464 18,725,732 9,362,866 4,681,433 14,044,300 7,022,150

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