λ
Sequence Observatory

96,337

96337
Deficient Odd Prime

Starting at 96,337, the Collatz iteration reaches 1 after 190 steps. The first transition is 289012; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 96337
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 96,338
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #96331 ← → #96353

Radix Representation

Decimal 96337
Binary 10111100001010001 (17 bits)
Octal 0o274121
Hexadecimal 0x17851

Divisor Catalog (2)

1 96,337

Collatz Trajectory (190 steps to reach 1)

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

96,337 289,012 144,506 72,253 216,760 108,380 54,190 27,095 81,286 40,643 121,930 60,965 182,896 91,448 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670

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