5,040,958

2 × 13 × 193883

Starting at 5,040,958, the Collatz iteration reaches 1 after 242 steps. The first transition is 2520479; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 193883

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,143,128

Proper Divisor Sum 3,102,170

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5040953 ← → #5040961

Radix Representation

Decimal	5040958
Binary	10011001110101100111110 (23 bits)
Octal	0o23165476
Hexadecimal	0x4CEB3E

Divisor Catalog (8)

1 2 13 26 193,883 387,766 2,520,479 5,040,958

Collatz Trajectory (242 steps to reach 1)

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

5,040,958 2,520,479 7,561,438 3,780,719 11,342,158 5,671,079 17,013,238 8,506,619 25,519,858 12,759,929 38,279,788 19,139,894 9,569,947 28,709,842 14,354,921 43,064,764 21,532,382 10,766,191 32,298,574 16,149,287 48,447,862 24,223,931 72,671,794 36,335,897 109,007,692 54,503,846 27,251,923 81,755,770 40,877,885 122,633,656 61,316,828 30,658,414 15,329,207 45,987,622 22,993,811 68,981,434 34,490,717 103,472,152 51,736,076 25,868,038 12,934,019 38,802,058 19,401,029 58,203,088 29,101,544 14,550,772 7,275,386 3,637,693 10,913,080 5,456,540 2,728,270 1,364,135 4,092,406 2,046,203 6,138,610 3,069,305 9,207,916 4,603,958 2,301,979 6,905,938

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