1,108,080

2⁴ × 3⁶ × 5 × 19

1,108,080 factors as 2^4 × 3^6 × 5 × 19. Its 140 positive divisors give a proper-divisor sum of 2,957,880, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^4 × 3^6 × 5 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 140

Divisor Sum (σ) 4,065,960

Proper Divisor Sum 2,957,880

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1108073 ← → #1108091

Radix Representation

Decimal	1108080
Binary	100001110100001110000 (21 bits)
Octal	0o4164160
Hexadecimal	0x10E870

Divisor Catalog (60 of 140)

1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 81 90 95 108 114 120 135 144 152 162 171 180 190 216 228 240 243 270 285 304 324 342 360 380 405 432 456 486 513 540 570

Collatz Trajectory (178 steps to reach 1)

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

1,108,080 554,040 277,020 138,510 69,255 207,766 103,883 311,650 155,825 467,476 233,738 116,869 350,608 175,304 87,652 43,826 21,913 65,740 32,870 16,435 49,306 24,653 73,960 36,980 18,490 9,245 27,736 13,868 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174

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