λ
Prime Ledger

200,774

2 × 7 × 14341
Deficient Even Composite

200,774 has the prime decomposition 2 × 7 × 14341. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 14341
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 344,208
Proper Divisor Sum 143,434
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #200771 ← → #200779

Radix Representation

Decimal 200774
Binary 110001000001000110 (18 bits)
Octal 0o610106
Hexadecimal 0x31046

Divisor Catalog (8)

1 2 7 14 14,341 28,682 100,387 200,774

Collatz Trajectory (67 steps to reach 1)

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

200,774 100,387 301,162 150,581 451,744 225,872 112,936 56,468 28,234 14,117 42,352 21,176 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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