λ
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806,080

26 × 5 × 11 × 229
Abundant Even Composite

806,080 factors as 2^6 × 5 × 11 × 229. Its 56 positive divisors give a proper-divisor sum of 1,297,040, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 11 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 2,103,120
Proper Divisor Sum 1,297,040
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #806059 ← → #806087

Radix Representation

Decimal 806080
Binary 11000100110011000000 (20 bits)
Octal 0o3046300
Hexadecimal 0xC4CC0

Divisor Catalog (56)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 229 320 352 440 458 704 880 916 1,145 1,760 1,832 2,290 2,519 3,520 3,664 4,580 5,038 7,328 9,160 10,076 12,595 14,656 18,320 20,152 25,190 36,640 40,304 50,380 73,280 80,608 100,760 161,216 201,520 403,040 806,080

Collatz Trajectory (69 steps to reach 1)

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

806,080 403,040 201,520 100,760 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 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26

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