7,718,610

2 × 3 × 5 × 257287

Starting at 7,718,610, the Collatz iteration reaches 1 after 124 steps. The first transition is 3859305; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 257287

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,524,736

Proper Divisor Sum 10,806,126

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7718587 ← → #7718621

Radix Representation

Decimal	7718610
Binary	11101011100011011010010 (23 bits)
Octal	0o35343322
Hexadecimal	0x75C6D2

Divisor Catalog (16)

1 2 3 5 6 10 15 30 257,287 514,574 771,861 1,286,435 1,543,722 2,572,870 3,859,305 7,718,610

Collatz Trajectory (124 steps to reach 1)

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

7,718,610 3,859,305 11,577,916 5,788,958 2,894,479 8,683,438 4,341,719 13,025,158 6,512,579 19,537,738 9,768,869 29,306,608 14,653,304 7,326,652 3,663,326 1,831,663 5,494,990 2,747,495 8,242,486 4,121,243 12,363,730 6,181,865 18,545,596 9,272,798 4,636,399 13,909,198 6,954,599 20,863,798 10,431,899 31,295,698 15,647,849 46,943,548 23,471,774 11,735,887 35,207,662 17,603,831 52,811,494 26,405,747 79,217,242 39,608,621 118,825,864 59,412,932 29,706,466 14,853,233 44,559,700 22,279,850 11,139,925 33,419,776 16,709,888 8,354,944 4,177,472 2,088,736 1,044,368 522,184 261,092 130,546 65,273 195,820 97,910 48,955

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