λ
Sigma Notebook

3,611,895

3 × 5 × 7 × 41 × 839
Deficient Odd Composite

3,611,895 is odd and not a perfect square. Its factorization is 3 × 5 × 7 × 41 × 839 and its 32 divisors sum to 6,773,760.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 41 × 839
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,773,760
Proper Divisor Sum 3,161,865
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3611893 ← → #3611941

Radix Representation

Decimal 3611895
Binary 1101110001110011110111 (22 bits)
Octal 0o15616367
Hexadecimal 0x371CF7

Divisor Catalog (32)

1 3 5 7 15 21 35 41 105 123 205 287 615 839 861 1,435 2,517 4,195 4,305 5,873 12,585 17,619 29,365 34,399 88,095 103,197 171,995 240,793 515,985 722,379 1,203,965 3,611,895

Collatz Trajectory (141 steps to reach 1)

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

3,611,895 10,835,686 5,417,843 16,253,530 8,126,765 24,380,296 12,190,148 6,095,074 3,047,537 9,142,612 4,571,306 2,285,653 6,856,960 3,428,480 1,714,240 857,120 428,560 214,280 107,140 53,570 26,785 80,356 40,178 20,089 60,268 30,134 15,067 45,202 22,601 67,804 33,902 16,951 50,854 25,427 76,282 38,141 114,424 57,212 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913

More profiles

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