λ
Prime Ledger

550,072

23 × 29 × 2371
Deficient Even Composite

550,072 has the prime decomposition 2^3 × 29 × 2371. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 29 × 2371
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,067,400
Proper Divisor Sum 517,328
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #550063 ← → #550073

Radix Representation

Decimal 550072
Binary 10000110010010111000 (20 bits)
Octal 0o2062270
Hexadecimal 0x864B8

Divisor Catalog (16)

1 2 4 8 29 58 116 232 2,371 4,742 9,484 18,968 68,759 137,518 275,036 550,072

Collatz Trajectory (32 steps to reach 1)

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

550,072 275,036 137,518 68,759 206,278 103,139 309,418 154,709 464,128 232,064 116,032 58,016 29,008 14,504 7,252 3,626 1,813 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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