λ
Sequence Observatory

132,694

2 × 66347
Deficient Even Composite

Starting at 132,694, the Collatz iteration reaches 1 after 131 steps. The first transition is 66347; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 66347
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 199,044
Proper Divisor Sum 66,350
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #132689 ← → #132697

Radix Representation

Decimal 132694
Binary 100000011001010110 (18 bits)
Octal 0o403126
Hexadecimal 0x20656

Divisor Catalog (4)

1 2 66,347 132,694

Collatz Trajectory (131 steps to reach 1)

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

132,694 66,347 199,042 99,521 298,564 149,282 74,641 223,924 111,962 55,981 167,944 83,972 41,986 20,993 62,980 31,490 15,745 47,236 23,618 11,809 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346

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