4,571,127

3³ × 11 × 15391

Starting at 4,571,127, the Collatz iteration reaches 1 after 131 steps. The first transition is 13713382; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 11 × 15391

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,388,160

Proper Divisor Sum 2,817,033

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4571107 ← → #4571207

Radix Representation

Decimal	4571127
Binary	10001011011111111110111 (23 bits)
Octal	0o21337767
Hexadecimal	0x45BFF7

Divisor Catalog (16)

1 3 9 11 27 33 99 297 15,391 46,173 138,519 169,301 415,557 507,903 1,523,709 4,571,127

Collatz Trajectory (131 steps to reach 1)

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

4,571,127 13,713,382 6,856,691 20,570,074 10,285,037 30,855,112 15,427,556 7,713,778 3,856,889 11,570,668 5,785,334 2,892,667 8,678,002 4,339,001 13,017,004 6,508,502 3,254,251 9,762,754 4,881,377 14,644,132 7,322,066 3,661,033 10,983,100 5,491,550 2,745,775 8,237,326 4,118,663 12,355,990 6,177,995 18,533,986 9,266,993 27,800,980 13,900,490 6,950,245 20,850,736 10,425,368 5,212,684 2,606,342 1,303,171 3,909,514 1,954,757 5,864,272 2,932,136 1,466,068 733,034 366,517 1,099,552 549,776 274,888 137,444 68,722 34,361 103,084 51,542 25,771 77,314 38,657 115,972 57,986 28,993

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