5,251,190

2 × 5 × 7 × 75017

Starting at 5,251,190, the Collatz iteration reaches 1 after 188 steps. The first transition is 2625595; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 75017

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,802,592

Proper Divisor Sum 5,551,402

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #5251189 ← → #5251193

Radix Representation

Decimal	5251190
Binary	10100000010000001110110 (23 bits)
Octal	0o24020166
Hexadecimal	0x502076

Divisor Catalog (16)

1 2 5 7 10 14 35 70 75,017 150,034 375,085 525,119 750,170 1,050,238 2,625,595 5,251,190

Collatz Trajectory (188 steps to reach 1)

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

5,251,190 2,625,595 7,876,786 3,938,393 11,815,180 5,907,590 2,953,795 8,861,386 4,430,693 13,292,080 6,646,040 3,323,020 1,661,510 830,755 2,492,266 1,246,133 3,738,400 1,869,200 934,600 467,300 233,650 116,825 350,476 175,238 87,619 262,858 131,429 394,288 197,144 98,572 49,286 24,643 73,930 36,965 110,896 55,448 27,724 13,862 6,931 20,794 10,397 31,192 15,596 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926

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