5,170,750

2 × 5³ × 13 × 37 × 43

Starting at 5,170,750, the Collatz iteration reaches 1 after 206 steps. The first transition is 2585375; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 13 × 37 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 10,954,944

Proper Divisor Sum 5,784,194

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5170741 ← → #5170751

Radix Representation

Decimal	5170750
Binary	10011101110011000111110 (23 bits)
Octal	0o23563076
Hexadecimal	0x4EE63E

Divisor Catalog (60 of 64)

1 2 5 10 13 25 26 37 43 50 65 74 86 125 130 185 215 250 325 370 430 481 559 650 925 962 1,075 1,118 1,591 1,625 1,850 2,150 2,405 2,795 3,182 3,250 4,625 4,810 5,375 5,590 7,955 9,250 10,750 12,025 13,975 15,910 20,683 24,050 27,950 39,775 41,366 60,125 69,875 79,550 103,415 120,250 139,750 198,875 206,830 397,750

Collatz Trajectory (206 steps to reach 1)

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

5,170,750 2,585,375 7,756,126 3,878,063 11,634,190 5,817,095 17,451,286 8,725,643 26,176,930 13,088,465 39,265,396 19,632,698 9,816,349 29,449,048 14,724,524 7,362,262 3,681,131 11,043,394 5,521,697 16,565,092 8,282,546 4,141,273 12,423,820 6,211,910 3,105,955 9,317,866 4,658,933 13,976,800 6,988,400 3,494,200 1,747,100 873,550 436,775 1,310,326 655,163 1,965,490 982,745 2,948,236 1,474,118 737,059 2,211,178 1,105,589 3,316,768 1,658,384 829,192 414,596 207,298 103,649 310,948 155,474 77,737 233,212 116,606 58,303 174,910 87,455 262,366 131,183 393,550 196,775

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