λ
Sequence Observatory

7,111,860

22 × 3 × 5 × 72 × 41 × 59
Abundant Even Composite

Starting at 7,111,860, the Collatz iteration reaches 1 after 54 steps. The first transition is 3555930; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7^2 × 41 × 59
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 24,131,520
Proper Divisor Sum 17,019,660
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7111843 ← → #7111861

Radix Representation

Decimal 7111860
Binary 11011001000010010110100 (23 bits)
Octal 0o33102264
Hexadecimal 0x6C84B4

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 49 59 60 70 82 84 98 105 118 123 140 147 164 177 196 205 210 236 245 246 287 294 295 354 410 413 420 490 492 574 588 590 615 708 735 820 826 861 885 980 1,148 1,180

Collatz Trajectory (54 steps to reach 1)

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

7,111,860 3,555,930 1,777,965 5,333,896 2,666,948 1,333,474 666,737 2,000,212 1,000,106 500,053 1,500,160 750,080 375,040 187,520 93,760 46,880 23,440 11,720 5,860 2,930 1,465 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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