3,998,052

2² × 3³ × 37019

3,998,052 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 37019 and its 24 divisors sum to 10,365,600.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 37019

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,365,600

Proper Divisor Sum 6,367,548

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3998041 ← → #3998069

Radix Representation

Decimal	3998052
Binary	1111010000000101100100 (22 bits)
Octal	0o17200544
Hexadecimal	0x3D0164

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 37,019 74,038 111,057 148,076 222,114 333,171 444,228 666,342 999,513 1,332,684 1,999,026 3,998,052

Collatz Trajectory (185 steps to reach 1)

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

3,998,052 1,999,026 999,513 2,998,540 1,499,270 749,635 2,248,906 1,124,453 3,373,360 1,686,680 843,340 421,670 210,835 632,506 316,253 948,760 474,380 237,190 118,595 355,786 177,893 533,680 266,840 133,420 66,710 33,355 100,066 50,033 150,100 75,050 37,525 112,576 56,288 28,144 14,072 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706

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