λ
Zalai Atlas

80,251

80251
Deficient Odd Prime

80,251 has the prime decomposition 80251. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 80251
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 80,252
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #80239 ← → #80263

Radix Representation

Decimal 80251
Binary 10011100101111011 (17 bits)
Octal 0o234573
Hexadecimal 0x1397B

Divisor Catalog (2)

1 80,251

Collatz Trajectory (50 steps to reach 1)

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

80,251 240,754 120,377 361,132 180,566 90,283 270,850 135,425 406,276 203,138 101,569 304,708 152,354 76,177 228,532 114,266 57,133 171,400 85,700 42,850 21,425 64,276 32,138 16,069 48,208 24,104 12,052 6,026 3,013 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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