3,781,180

2² × 5 × 13 × 14543

3,781,180 has digital root 1. The neighboring primes are 3781153 and 3781187; its proper-divisor sum differs from the starting integer by 989,512.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 14543

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,551,872

Proper Divisor Sum 4,770,692

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3781153 ← → #3781187

Radix Representation

Decimal	3781180
Binary	1110011011001000111100 (22 bits)
Octal	0o16331074
Hexadecimal	0x39B23C

Divisor Catalog (24)

1 2 4 5 10 13 20 26 52 65 130 260 14,543 29,086 58,172 72,715 145,430 189,059 290,860 378,118 756,236 945,295 1,890,590 3,781,180

Collatz Trajectory (110 steps to reach 1)

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

3,781,180 1,890,590 945,295 2,835,886 1,417,943 4,253,830 2,126,915 6,380,746 3,190,373 9,571,120 4,785,560 2,392,780 1,196,390 598,195 1,794,586 897,293 2,691,880 1,345,940 672,970 336,485 1,009,456 504,728 252,364 126,182 63,091 189,274 94,637 283,912 141,956 70,978 35,489 106,468 53,234 26,617 79,852 39,926 19,963 59,890 29,945 89,836 44,918 22,459 67,378 33,689 101,068 50,534 25,267 75,802 37,901 113,704 56,852 28,426 14,213 42,640 21,320 10,660 5,330 2,665 7,996 3,998

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