1,190,080

2⁶ × 5 × 3719

1,190,080 has the prime decomposition 2^6 × 5 × 3719. Its 3 distinct prime factors produce 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5 × 3719

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 2,834,640

Proper Divisor Sum 1,644,560

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1190071 ← → #1190081

Radix Representation

Decimal	1190080
Binary	100100010100011000000 (21 bits)
Octal	0o4424300
Hexadecimal	0x1228C0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 3,719 7,438 14,876 18,595 29,752 37,190 59,504 74,380 119,008 148,760 238,016 297,520 595,040 1,190,080

Collatz Trajectory (191 steps to reach 1)

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

1,190,080 595,040 297,520 148,760 74,380 37,190 18,595 55,786 27,893 83,680 41,840 20,920 10,460 5,230 2,615 7,846 3,923 11,770 5,885 17,656 8,828 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555

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