5,222,493

3² × 73 × 7949

Starting at 5,222,493, the Collatz iteration reaches 1 after 95 steps. The first transition is 15667480; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 73 × 7949

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,647,900

Proper Divisor Sum 2,425,407

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5222447 ← → #5222501

Radix Representation

Decimal	5222493
Binary	10011111011000001011101 (23 bits)
Octal	0o23730135
Hexadecimal	0x4FB05D

Divisor Catalog (12)

1 3 9 73 219 657 7,949 23,847 71,541 580,277 1,740,831 5,222,493

Collatz Trajectory (95 steps to reach 1)

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

5,222,493 15,667,480 7,833,740 3,916,870 1,958,435 5,875,306 2,937,653 8,812,960 4,406,480 2,203,240 1,101,620 550,810 275,405 826,216 413,108 206,554 103,277 309,832 154,916 77,458 38,729 116,188 58,094 29,047 87,142 43,571 130,714 65,357 196,072 98,036 49,018 24,509 73,528 36,764 18,382 9,191 27,574 13,787 41,362 20,681 62,044 31,022 15,511 46,534 23,267 69,802 34,901 104,704 52,352 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922

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