λ
Sequence Observatory

5,681,730

2 × 3 × 5 × 189391
Abundant Even Composite

Starting at 5,681,730, the Collatz iteration reaches 1 after 64 steps. The first transition is 2840865; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 189391
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,636,224
Proper Divisor Sum 7,954,494
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5681729 ← → #5681737

Radix Representation

Decimal 5681730
Binary 10101101011001001000010 (23 bits)
Octal 0o25531102
Hexadecimal 0x56B242

Divisor Catalog (16)

1 2 3 5 6 10 15 30 189,391 378,782 568,173 946,955 1,136,346 1,893,910 2,840,865 5,681,730

Collatz Trajectory (64 steps to reach 1)

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

5,681,730 2,840,865 8,522,596 4,261,298 2,130,649 6,391,948 3,195,974 1,597,987 4,793,962 2,396,981 7,190,944 3,595,472 1,797,736 898,868 449,434 224,717 674,152 337,076 168,538 84,269 252,808 126,404 63,202 31,601 94,804 47,402 23,701 71,104 35,552 17,776 8,888 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5

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