λ
Sequence Observatory

1,893,980

22 × 5 × 11 × 8609
Abundant Even Composite

Starting at 1,893,980, the Collatz iteration reaches 1 after 65 steps. The first transition is 946990; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 8609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,339,440
Proper Divisor Sum 2,445,460
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1893979 ← → #1894001

Radix Representation

Decimal 1893980
Binary 111001110011001011100 (21 bits)
Octal 0o7163134
Hexadecimal 0x1CE65C

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 8,609 17,218 34,436 43,045 86,090 94,699 172,180 189,398 378,796 473,495 946,990 1,893,980

Collatz Trajectory (65 steps to reach 1)

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

1,893,980 946,990 473,495 1,420,486 710,243 2,130,730 1,065,365 3,196,096 1,598,048 799,024 399,512 199,756 99,878 49,939 149,818 74,909 224,728 112,364 56,182 28,091 84,274 42,137 126,412 63,206 31,603 94,810 47,405 142,216 71,108 35,554 17,777 53,332 26,666 13,333 40,000 20,000 10,000 5,000 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10

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