8,284,780

2² × 5 × 7 × 17 × 59²

8,284,780 has digital root 1. The neighboring primes are 8284739 and 8284823; its proper-divisor sum differs from the starting integer by 4,846,408.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 17 × 59^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 21,415,968

Proper Divisor Sum 13,131,188

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8284739 ← → #8284823

Radix Representation

Decimal	8284780
Binary	11111100110101001101100 (23 bits)
Octal	0o37465154
Hexadecimal	0x7E6A6C

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 17 20 28 34 35 59 68 70 85 118 119 140 170 236 238 295 340 413 476 590 595 826 1,003 1,180 1,190 1,652 2,006 2,065 2,380 3,481 4,012 4,130 5,015 6,962 7,021 8,260 10,030 13,924 14,042 17,405 20,060 24,367 28,084 34,810 35,105 48,734 59,177 69,620 70,210 97,468 118,354 121,835 140,420

Collatz Trajectory (137 steps to reach 1)

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

8,284,780 4,142,390 2,071,195 6,213,586 3,106,793 9,320,380 4,660,190 2,330,095 6,990,286 3,495,143 10,485,430 5,242,715 15,728,146 7,864,073 23,592,220 11,796,110 5,898,055 17,694,166 8,847,083 26,541,250 13,270,625 39,811,876 19,905,938 9,952,969 29,858,908 14,929,454 7,464,727 22,394,182 11,197,091 33,591,274 16,795,637 50,386,912 25,193,456 12,596,728 6,298,364 3,149,182 1,574,591 4,723,774 2,361,887 7,085,662 3,542,831 10,628,494 5,314,247 15,942,742 7,971,371 23,914,114 11,957,057 35,871,172 17,935,586 8,967,793 26,903,380 13,451,690 6,725,845 20,177,536 10,088,768 5,044,384 2,522,192 1,261,096 630,548 315,274

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