λ
Sequence Observatory
Atlas › Integer Profiles › Node 442,280

442,280

23 × 5 × 11057
Abundant Even Composite

Starting at 442,280, the Collatz iteration reaches 1 after 63 steps. The first transition is 221140; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 11057
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 995,220
Proper Divisor Sum 552,940
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #442271 ← → #442283

Radix Representation

Decimal 442280
Binary 1101011111110101000 (19 bits)
Octal 0o1537650
Hexadecimal 0x6BFA8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 11,057 22,114 44,228 55,285 88,456 110,570 221,140 442,280

Collatz Trajectory (63 steps to reach 1)

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

442,280 221,140 110,570 55,285 165,856 82,928 41,464 20,732 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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