λ
Sequence Observatory

1,693,973

23 × 73651
Deficient Odd Composite

Starting at 1,693,973, the Collatz iteration reaches 1 after 83 steps. The first transition is 5081920; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 23 × 73651
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,767,648
Proper Divisor Sum 73,675
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1693957 ← → #1693987

Radix Representation

Decimal 1693973
Binary 110011101100100010101 (21 bits)
Octal 0o6354425
Hexadecimal 0x19D915

Divisor Catalog (4)

1 23 73,651 1,693,973

Collatz Trajectory (83 steps to reach 1)

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

1,693,973 5,081,920 2,540,960 1,270,480 635,240 317,620 158,810 79,405 238,216 119,108 59,554 29,777 89,332 44,666 22,333 67,000 33,500 16,750 8,375 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304

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