λ
Sequence Observatory

75,683

75683
Deficient Odd Prime

Starting at 75,683, the Collatz iteration reaches 1 after 63 steps. The first transition is 227050; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 75683
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 75,684
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #75679 ← → #75689

Radix Representation

Decimal 75683
Binary 10010011110100011 (17 bits)
Octal 0o223643
Hexadecimal 0x127A3

Divisor Catalog (2)

1 75,683

Collatz Trajectory (63 steps to reach 1)

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

75,683 227,050 113,525 340,576 170,288 85,144 42,572 21,286 10,643 31,930 15,965 47,896 23,948 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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