λ
Sequence Observatory

10,321

10321
Deficient Odd Prime

Starting at 10,321, the Collatz iteration reaches 1 after 148 steps. The first transition is 30964; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 10321
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 10,322
Proper Divisor Sum 1
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #10313 ← → #10331

Radix Representation

Decimal 10321
Binary 10100001010001 (14 bits)
Octal 0o24121
Hexadecimal 0x2851

Divisor Catalog (2)

1 10,321

Collatz Trajectory (148 steps to reach 1)

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

10,321 30,964 15,482 7,741 23,224 11,612 5,806 2,903 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

More profiles

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