λ
Sigma Notebook

12,299

72 × 251
Deficient Odd Composite

12,299 is odd and not a perfect square. Its factorization is 7^2 × 251 and its 6 divisors sum to 14,364.

Prime Factor Structure

Factorization String 7^2 × 251
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,364
Proper Divisor Sum 2,065
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #12289 ← → #12301

Radix Representation

Decimal 12299
Binary 11000000001011 (14 bits)
Octal 0o30013
Hexadecimal 0x300B

Divisor Catalog (6)

1 7 49 251 1,757 12,299

Collatz Trajectory (112 steps to reach 1)

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

12,299 36,898 18,449 55,348 27,674 13,837 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479

More profiles

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