7,066,640

2⁴ × 5 × 7 × 12619

Starting at 7,066,640, the Collatz iteration reaches 1 after 129 steps. The first transition is 3533320; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 12619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 18,778,560

Proper Divisor Sum 11,711,920

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7066639 ← → #7066643

Radix Representation

Decimal	7066640
Binary	11010111101010000010000 (23 bits)
Octal	0o32752020
Hexadecimal	0x6BD410

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 12,619 25,238 50,476 63,095 88,333 100,952 126,190 176,666 201,904 252,380 353,332 441,665 504,760 706,664 883,330 1,009,520 1,413,328 1,766,660 3,533,320 7,066,640

Collatz Trajectory (129 steps to reach 1)

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

7,066,640 3,533,320 1,766,660 883,330 441,665 1,324,996 662,498 331,249 993,748 496,874 248,437 745,312 372,656 186,328 93,164 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966 27,983 83,950 41,975 125,926 62,963 188,890 94,445 283,336 141,668 70,834 35,417 106,252 53,126 26,563 79,690 39,845 119,536 59,768 29,884 14,942 7,471

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