7,116,070

2 × 5 × 13 × 19 × 43 × 67

Starting at 7,116,070, the Collatz iteration reaches 1 after 103 steps. The first transition is 3558035; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 19 × 43 × 67

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 15,079,680

Proper Divisor Sum 7,963,610

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7116061 ← → #7116071

Radix Representation

Decimal	7116070
Binary	11011001001010100100110 (23 bits)
Octal	0o33112446
Hexadecimal	0x6C9526

Divisor Catalog (60 of 64)

1 2 5 10 13 19 26 38 43 65 67 86 95 130 134 190 215 247 335 430 494 559 670 817 871 1,118 1,235 1,273 1,634 1,742 2,470 2,546 2,795 2,881 4,085 4,355 5,590 5,762 6,365 8,170 8,710 10,621 12,730 14,405 16,549 21,242 28,810 33,098 37,453 53,105 54,739 74,906 82,745 106,210 109,478 165,490 187,265 273,695 374,530 547,390

Collatz Trajectory (103 steps to reach 1)

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

7,116,070 3,558,035 10,674,106 5,337,053 16,011,160 8,005,580 4,002,790 2,001,395 6,004,186 3,002,093 9,006,280 4,503,140 2,251,570 1,125,785 3,377,356 1,688,678 844,339 2,533,018 1,266,509 3,799,528 1,899,764 949,882 474,941 1,424,824 712,412 356,206 178,103 534,310 267,155 801,466 400,733 1,202,200 601,100 300,550 150,275 450,826 225,413 676,240 338,120 169,060 84,530 42,265 126,796 63,398 31,699 95,098 47,549 142,648 71,324 35,662 17,831 53,494 26,747 80,242 40,121 120,364 60,182 30,091 90,274 45,137

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