λ
Sigma Notebook

2,053,595

5 × 31 × 13249
Deficient Odd Composite

2,053,595 is odd and not a perfect square. Its factorization is 5 × 31 × 13249 and its 8 divisors sum to 2,544,000.

Prime Factor Structure

Factorization String 5 × 31 × 13249
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,544,000
Proper Divisor Sum 490,405
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2053573 ← → #2053603

Radix Representation

Decimal 2053595
Binary 111110101010111011011 (21 bits)
Octal 0o7652733
Hexadecimal 0x1F55DB

Divisor Catalog (8)

1 5 31 155 13,249 66,245 410,719 2,053,595

Collatz Trajectory (153 steps to reach 1)

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

2,053,595 6,160,786 3,080,393 9,241,180 4,620,590 2,310,295 6,930,886 3,465,443 10,396,330 5,198,165 15,594,496 7,797,248 3,898,624 1,949,312 974,656 487,328 243,664 121,832 60,916 30,458 15,229 45,688 22,844 11,422 5,711 17,134 8,567 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364

More profiles

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