λ
Sequence Observatory

3,504,027

3 × 23 × 43 × 1181
Deficient Odd Composite

Starting at 3,504,027, the Collatz iteration reaches 1 after 190 steps. The first transition is 10512082; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 43 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,992,768
Proper Divisor Sum 1,488,741
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3504013 ← → #3504031

Radix Representation

Decimal 3504027
Binary 1101010111011110011011 (22 bits)
Octal 0o15273633
Hexadecimal 0x35779B

Divisor Catalog (16)

1 3 23 43 69 129 989 1,181 2,967 3,543 27,163 50,783 81,489 152,349 1,168,009 3,504,027

Collatz Trajectory (190 steps to reach 1)

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

3,504,027 10,512,082 5,256,041 15,768,124 7,884,062 3,942,031 11,826,094 5,913,047 17,739,142 8,869,571 26,608,714 13,304,357 39,913,072 19,956,536 9,978,268 4,989,134 2,494,567 7,483,702 3,741,851 11,225,554 5,612,777 16,838,332 8,419,166 4,209,583 12,628,750 6,314,375 18,943,126 9,471,563 28,414,690 14,207,345 42,622,036 21,311,018 10,655,509 31,966,528 15,983,264 7,991,632 3,995,816 1,997,908 998,954 499,477 1,498,432 749,216 374,608 187,304 93,652 46,826 23,413 70,240 35,120 17,560 8,780 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706

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