200,776

2³ × 25097

200,776 has the prime decomposition 2^3 × 25097. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 25097

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 376,470

Proper Divisor Sum 175,694

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #200771 ← → #200779

Radix Representation

Decimal	200776
Binary	110001000001001000 (18 bits)
Octal	0o610110
Hexadecimal	0x31048

Divisor Catalog (8)

1 2 4 8 25,097 50,194 100,388 200,776

Collatz Trajectory (67 steps to reach 1)

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

200,776 100,388 50,194 25,097 75,292 37,646 18,823 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 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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