λ
Sigma Notebook

485,109

34 × 53 × 113
Deficient Odd Composite

485,109 is odd and not a perfect square. Its factorization is 3^4 × 53 × 113 and its 20 divisors sum to 744,876.

Prime Factor Structure

Factorization String 3^4 × 53 × 113
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 744,876
Proper Divisor Sum 259,767
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #485101 ← → #485113

Radix Representation

Decimal 485109
Binary 1110110011011110101 (19 bits)
Octal 0o1663365
Hexadecimal 0x766F5

Divisor Catalog (20)

1 3 9 27 53 81 113 159 339 477 1,017 1,431 3,051 4,293 5,989 9,153 17,967 53,901 161,703 485,109

Collatz Trajectory (182 steps to reach 1)

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

485,109 1,455,328 727,664 363,832 181,916 90,958 45,479 136,438 68,219 204,658 102,329 306,988 153,494 76,747 230,242 115,121 345,364 172,682 86,341 259,024 129,512 64,756 32,378 16,189 48,568 24,284 12,142 6,071 18,214 9,107 27,322 13,661 40,984 20,492 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514

More profiles

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