8,321,840

2⁴ × 5 × 17 × 29 × 211

8,321,840 has digital root 8. The neighboring primes are 8321813 and 8321843; its proper-divisor sum differs from the starting integer by 4,649,600.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 29 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 21,293,280

Proper Divisor Sum 12,971,440

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8321813 ← → #8321843

Radix Representation

Decimal	8321840
Binary	11111101111101100110000 (23 bits)
Octal	0o37575460
Hexadecimal	0x7EFB30

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 211 232 272 290 340 422 464 493 580 680 844 986 1,055 1,160 1,360 1,688 1,972 2,110 2,320 2,465 3,376 3,587 3,944 4,220 4,930 6,119 7,174 7,888 8,440 9,860 12,238 14,348 16,880 17,935 19,720 24,476 28,696 30,595 35,870 39,440

Collatz Trajectory (75 steps to reach 1)

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

8,321,840 4,160,920 2,080,460 1,040,230 520,115 1,560,346 780,173 2,340,520 1,170,260 585,130 292,565 877,696 438,848 219,424 109,712 54,856 27,428 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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