λ
Sequence Observatory

4,271,630

2 × 5 × 11 × 38833
Deficient Even Composite

Starting at 4,271,630, the Collatz iteration reaches 1 after 242 steps. The first transition is 2135815; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 38833
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,388,144
Proper Divisor Sum 4,116,514
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4271627 ← → #4271711

Radix Representation

Decimal 4271630
Binary 10000010010111000001110 (23 bits)
Octal 0o20227016
Hexadecimal 0x412E0E

Divisor Catalog (16)

1 2 5 10 11 22 55 110 38,833 77,666 194,165 388,330 427,163 854,326 2,135,815 4,271,630

Collatz Trajectory (242 steps to reach 1)

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

4,271,630 2,135,815 6,407,446 3,203,723 9,611,170 4,805,585 14,416,756 7,208,378 3,604,189 10,812,568 5,406,284 2,703,142 1,351,571 4,054,714 2,027,357 6,082,072 3,041,036 1,520,518 760,259 2,280,778 1,140,389 3,421,168 1,710,584 855,292 427,646 213,823 641,470 320,735 962,206 481,103 1,443,310 721,655 2,164,966 1,082,483 3,247,450 1,623,725 4,871,176 2,435,588 1,217,794 608,897 1,826,692 913,346 456,673 1,370,020 685,010 342,505 1,027,516 513,758 256,879 770,638 385,319 1,155,958 577,979 1,733,938 866,969 2,600,908 1,300,454 650,227 1,950,682 975,341

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