8,480,940

2² × 3 × 5 × 13 × 83 × 131

8,480,940 factors as 2^2 × 3 × 5 × 13 × 83 × 131. Its 96 positive divisors give a proper-divisor sum of 17,598,036, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 83 × 131

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 26,078,976

Proper Divisor Sum 17,598,036

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8480939 ← → #8480959

Radix Representation

Decimal	8480940
Binary	100000010110100010101100 (24 bits)
Octal	0o40264254
Hexadecimal	0x8168AC

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 83 130 131 156 166 195 249 260 262 332 390 393 415 498 524 655 780 786 830 996 1,079 1,245 1,310 1,572 1,660 1,703 1,965 2,158 2,490 2,620 3,237 3,406 3,930 4,316 4,980 5,109 5,395 6,474 6,812 7,860 8,515 10,218

Collatz Trajectory (106 steps to reach 1)

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

8,480,940 4,240,470 2,120,235 6,360,706 3,180,353 9,541,060 4,770,530 2,385,265 7,155,796 3,577,898 1,788,949 5,366,848 2,683,424 1,341,712 670,856 335,428 167,714 83,857 251,572 125,786 62,893 188,680 94,340 47,170 23,585 70,756 35,378 17,689 53,068 26,534 13,267 39,802 19,901 59,704 29,852 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495

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