λ
Sigma Notebook

174,848

28 × 683
Deficient Even Composite

174,848 is even and not a perfect square. Its factorization is 2^8 × 683 and its 18 divisors sum to 349,524.

Prime Factor Structure

Factorization String 2^8 × 683
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 349,524
Proper Divisor Sum 174,676
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #174829 ← → #174851

Radix Representation

Decimal 174848
Binary 101010101100000000 (18 bits)
Octal 0o525400
Hexadecimal 0x2AB00

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 683 1,366 2,732 5,464 10,928 21,856 43,712 87,424 174,848

Collatz Trajectory (46 steps to reach 1)

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

174,848 87,424 43,712 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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