λ
Sequence Observatory

66,357

32 × 73 × 101
Deficient Odd Composite

Starting at 66,357, the Collatz iteration reaches 1 after 42 steps. The first transition is 199072; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 73 × 101
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 98,124
Proper Divisor Sum 31,767
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #66347 ← → #66359

Radix Representation

Decimal 66357
Binary 10000001100110101 (17 bits)
Octal 0o201465
Hexadecimal 0x10335

Divisor Catalog (12)

1 3 9 73 101 219 303 657 909 7,373 22,119 66,357

Collatz Trajectory (42 steps to reach 1)

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

66,357 199,072 99,536 49,768 24,884 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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