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Sigma Notebook

12,451

12451
Deficient Odd Prime

12,451 is odd and not a perfect square. Its factorization is 12451 and its 2 divisors sum to 12,452.

Prime Factor Structure

Factorization String 12451
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 12,452
Proper Divisor Sum 1
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #12437 ← → #12457

Radix Representation

Decimal 12451
Binary 11000010100011 (14 bits)
Octal 0o30243
Hexadecimal 0x30A3

Divisor Catalog (2)

1 12,451

Collatz Trajectory (37 steps to reach 1)

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

12,451 37,354 18,677 56,032 28,016 14,008 7,004 3,502 1,751 5,254 2,627 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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