7,180,250

2 × 5³ × 7 × 11 × 373

Starting at 7,180,250, the Collatz iteration reaches 1 after 147 steps. The first transition is 3590125; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 7 × 11 × 373

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 16,803,072

Proper Divisor Sum 9,622,822

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7180223 ← → #7180259

Radix Representation

Decimal	7180250
Binary	11011011000111111011010 (23 bits)
Octal	0o33307732
Hexadecimal	0x6D8FDA

Divisor Catalog (60 of 64)

1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 125 154 175 250 275 350 373 385 550 746 770 875 1,375 1,750 1,865 1,925 2,611 2,750 3,730 3,850 4,103 5,222 8,206 9,325 9,625 13,055 18,650 19,250 20,515 26,110 28,721 41,030 46,625 57,442 65,275 93,250 102,575 130,550 143,605 205,150 287,210 326,375 512,875 652,750 718,025

Collatz Trajectory (147 steps to reach 1)

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

7,180,250 3,590,125 10,770,376 5,385,188 2,692,594 1,346,297 4,038,892 2,019,446 1,009,723 3,029,170 1,514,585 4,543,756 2,271,878 1,135,939 3,407,818 1,703,909 5,111,728 2,555,864 1,277,932 638,966 319,483 958,450 479,225 1,437,676 718,838 359,419 1,078,258 539,129 1,617,388 808,694 404,347 1,213,042 606,521 1,819,564 909,782 454,891 1,364,674 682,337 2,047,012 1,023,506 511,753 1,535,260 767,630 383,815 1,151,446 575,723 1,727,170 863,585 2,590,756 1,295,378 647,689 1,943,068 971,534 485,767 1,457,302 728,651 2,185,954 1,092,977 3,278,932 1,639,466

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