λ
Sequence Observatory

1,327,206

2 × 3 × 221201
Abundant Even Composite

Starting at 1,327,206, the Collatz iteration reaches 1 after 93 steps. The first transition is 663603; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 221201
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,654,424
Proper Divisor Sum 1,327,218
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1327201 ← → #1327217

Radix Representation

Decimal 1327206
Binary 101000100000001100110 (21 bits)
Octal 0o5040146
Hexadecimal 0x144066

Divisor Catalog (8)

1 2 3 6 221,201 442,402 663,603 1,327,206

Collatz Trajectory (93 steps to reach 1)

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

1,327,206 663,603 1,990,810 995,405 2,986,216 1,493,108 746,554 373,277 1,119,832 559,916 279,958 139,979 419,938 209,969 629,908 314,954 157,477 472,432 236,216 118,108 59,054 29,527 88,582 44,291 132,874 66,437 199,312 99,656 49,828 24,914 12,457 37,372 18,686 9,343 28,030 14,015 42,046 21,023 63,070 31,535 94,606 47,303 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738 59,869 179,608 89,804 44,902 22,451 67,354 33,677 101,032 50,516

More profiles

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