5,071,146

2 × 3 × 37 × 53 × 431

Starting at 5,071,146, the Collatz iteration reaches 1 after 131 steps. The first transition is 2535573; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 53 × 431

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,637,568

Proper Divisor Sum 5,566,422

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5071139 ← → #5071147

Radix Representation

Decimal	5071146
Binary	10011010110000100101010 (23 bits)
Octal	0o23260452
Hexadecimal	0x4D612A

Divisor Catalog (32)

1 2 3 6 37 53 74 106 111 159 222 318 431 862 1,293 1,961 2,586 3,922 5,883 11,766 15,947 22,843 31,894 45,686 47,841 68,529 95,682 137,058 845,191 1,690,382 2,535,573 5,071,146

Collatz Trajectory (131 steps to reach 1)

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

5,071,146 2,535,573 7,606,720 3,803,360 1,901,680 950,840 475,420 237,710 118,855 356,566 178,283 534,850 267,425 802,276 401,138 200,569 601,708 300,854 150,427 451,282 225,641 676,924 338,462 169,231 507,694 253,847 761,542 380,771 1,142,314 571,157 1,713,472 856,736 428,368 214,184 107,092 53,546 26,773 80,320 40,160 20,080 10,040 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366

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