λ
Sigma Notebook

168,512

26 × 2633
Deficient Even Composite

168,512 is even and not a perfect square. Its factorization is 2^6 × 2633 and its 14 divisors sum to 334,518.

Prime Factor Structure

Factorization String 2^6 × 2633
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 334,518
Proper Divisor Sum 166,006
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #168499 ← → #168523

Radix Representation

Decimal 168512
Binary 101001001001000000 (18 bits)
Octal 0o511100
Hexadecimal 0x29240

Divisor Catalog (14)

1 2 4 8 16 32 64 2,633 5,266 10,532 21,064 42,128 84,256 168,512

Collatz Trajectory (46 steps to reach 1)

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

168,512 84,256 42,128 21,064 10,532 5,266 2,633 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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