λ
Sequence Observatory

104,677

104677
Deficient Odd Prime

Starting at 104,677, the Collatz iteration reaches 1 after 172 steps. The first transition is 314032; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 104677
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 104,678
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #104659 ← → #104681

Radix Representation

Decimal 104677
Binary 11001100011100101 (17 bits)
Octal 0o314345
Hexadecimal 0x198E5

Divisor Catalog (2)

Collatz Trajectory (172 steps to reach 1)

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

104,677 314,032 157,016 78,508 39,254 19,627 58,882 29,441 88,324 44,162 22,081 66,244 33,122 16,561 49,684 24,842 12,421 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

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