5,039,960

2³ × 5 × 163 × 773

Starting at 5,039,960, the Collatz iteration reaches 1 after 281 steps. The first transition is 2519980; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 163 × 773

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,424,240

Proper Divisor Sum 6,384,280

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5039953 ← → #5039971

Radix Representation

Decimal	5039960
Binary	10011001110011101011000 (23 bits)
Octal	0o23163530
Hexadecimal	0x4CE758

Divisor Catalog (32)

1 2 4 5 8 10 20 40 163 326 652 773 815 1,304 1,546 1,630 3,092 3,260 3,865 6,184 6,520 7,730 15,460 30,920 125,999 251,998 503,996 629,995 1,007,992 1,259,990 2,519,980 5,039,960

Collatz Trajectory (281 steps to reach 1)

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

5,039,960 2,519,980 1,259,990 629,995 1,889,986 944,993 2,834,980 1,417,490 708,745 2,126,236 1,063,118 531,559 1,594,678 797,339 2,392,018 1,196,009 3,588,028 1,794,014 897,007 2,691,022 1,345,511 4,036,534 2,018,267 6,054,802 3,027,401 9,082,204 4,541,102 2,270,551 6,811,654 3,405,827 10,217,482 5,108,741 15,326,224 7,663,112 3,831,556 1,915,778 957,889 2,873,668 1,436,834 718,417 2,155,252 1,077,626 538,813 1,616,440 808,220 404,110 202,055 606,166 303,083 909,250 454,625 1,363,876 681,938 340,969 1,022,908 511,454 255,727 767,182 383,591 1,150,774

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