7,436,620

2² × 5 × 371831

Starting at 7,436,620, the Collatz iteration reaches 1 after 80 steps. The first transition is 3718310; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 371831

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,616,944

Proper Divisor Sum 8,180,324

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7436609 ← → #7436629

Radix Representation

Decimal	7436620
Binary	11100010111100101001100 (23 bits)
Octal	0o34274514
Hexadecimal	0x71794C

Divisor Catalog (12)

1 2 4 5 10 20 371,831 743,662 1,487,324 1,859,155 3,718,310 7,436,620

Collatz Trajectory (80 steps to reach 1)

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

7,436,620 3,718,310 1,859,155 5,577,466 2,788,733 8,366,200 4,183,100 2,091,550 1,045,775 3,137,326 1,568,663 4,705,990 2,352,995 7,058,986 3,529,493 10,588,480 5,294,240 2,647,120 1,323,560 661,780 330,890 165,445 496,336 248,168 124,084 62,042 31,021 93,064 46,532 23,266 11,633 34,900 17,450 8,725 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37

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