3,782,281

23 × 164447

Starting at 3,782,281, the Collatz iteration reaches 1 after 247 steps. The first transition is 11346844; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 23 × 164447

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,946,752

Proper Divisor Sum 164,471

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3782257 ← → #3782293

Radix Representation

Decimal	3782281
Binary	1110011011011010001001 (22 bits)
Octal	0o16333211
Hexadecimal	0x39B689

Divisor Catalog (4)

1 23 164,447 3,782,281

Collatz Trajectory (247 steps to reach 1)

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

3,782,281 11,346,844 5,673,422 2,836,711 8,510,134 4,255,067 12,765,202 6,382,601 19,147,804 9,573,902 4,786,951 14,360,854 7,180,427 21,541,282 10,770,641 32,311,924 16,155,962 8,077,981 24,233,944 12,116,972 6,058,486 3,029,243 9,087,730 4,543,865 13,631,596 6,815,798 3,407,899 10,223,698 5,111,849 15,335,548 7,667,774 3,833,887 11,501,662 5,750,831 17,252,494 8,626,247 25,878,742 12,939,371 38,818,114 19,409,057 58,227,172 29,113,586 14,556,793 43,670,380 21,835,190 10,917,595 32,752,786 16,376,393 49,129,180 24,564,590 12,282,295 36,846,886 18,423,443 55,270,330 27,635,165 82,905,496 41,452,748 20,726,374 10,363,187 31,089,562

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