λ
Sequence Observatory

1,270,208

26 × 89 × 223
Abundant Even Composite

Starting at 1,270,208, the Collatz iteration reaches 1 after 142 steps. The first transition is 635104; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 89 × 223
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 2,560,320
Proper Divisor Sum 1,290,112
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1270201 ← → #1270231

Radix Representation

Decimal 1270208
Binary 100110110000111000000 (21 bits)
Octal 0o4660700
Hexadecimal 0x1361C0

Divisor Catalog (28)

1 2 4 8 16 32 64 89 178 223 356 446 712 892 1,424 1,784 2,848 3,568 5,696 7,136 14,272 19,847 39,694 79,388 158,776 317,552 635,104 1,270,208

Collatz Trajectory (142 steps to reach 1)

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

1,270,208 635,104 317,552 158,776 79,388 39,694 19,847 59,542 29,771 89,314 44,657 133,972 66,986 33,493 100,480 50,240 25,120 12,560 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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