λ
Prime Ledger

13,247

13 × 1019
Deficient Odd Composite

13,247 has the prime decomposition 13 × 1019. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 1019
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 14,280
Proper Divisor Sum 1,033
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #13241 ← → #13249

Radix Representation

Decimal 13247
Binary 11001110111111 (14 bits)
Octal 0o31677
Hexadecimal 0x33BF

Divisor Catalog (4)

1 13 1,019 13,247

Collatz Trajectory (120 steps to reach 1)

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

13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505

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