λ
Sequence Observatory

68,693

73 × 941
Deficient Odd Composite

Starting at 68,693, the Collatz iteration reaches 1 after 29 steps. The first transition is 206080; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 73 × 941
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 69,708
Proper Divisor Sum 1,015
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #68687 ← → #68699

Radix Representation

Decimal 68693
Binary 10000110001010101 (17 bits)
Octal 0o206125
Hexadecimal 0x10C55

Divisor Catalog (4)

1 73 941 68,693

Collatz Trajectory (29 steps to reach 1)

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

68,693 206,080 103,040 51,520 25,760 12,880 6,440 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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