λ
Sigma Notebook

12,452

22 × 11 × 283
Deficient Even Composite

12,452 is even and not a perfect square. Its factorization is 2^2 × 11 × 283 and its 12 divisors sum to 23,856.

Prime Factor Structure

Factorization String 2^2 × 11 × 283
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 23,856
Proper Divisor Sum 11,404
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #12451 ← → #12457

Radix Representation

Decimal 12452
Binary 11000010100100 (14 bits)
Octal 0o30244
Hexadecimal 0x30A4

Divisor Catalog (12)

1 2 4 11 22 44 283 566 1,132 3,113 6,226 12,452

Collatz Trajectory (94 steps to reach 1)

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

12,452 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848

More profiles

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