8,708,080

2⁴ × 5 × 17 × 19 × 337

8,708,080 has digital root 4. The neighboring primes are 8708071 and 8708081; its proper-divisor sum differs from the starting integer by 5,216,320.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 19 × 337

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 22,632,480

Proper Divisor Sum 13,924,400

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8708071 ← → #8708081

Radix Representation

Decimal	8708080
Binary	100001001101111111110000 (24 bits)
Octal	0o41157760
Hexadecimal	0x84DFF0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 337 340 380 646 674 680 760 1,292 1,348 1,360 1,520 1,615 1,685 2,584 2,696 3,230 3,370 5,168 5,392 5,729 6,403 6,460 6,740 11,458 12,806 12,920 13,480 22,916 25,612 25,840 26,960 28,645 32,015 45,832 51,224

Collatz Trajectory (124 steps to reach 1)

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

8,708,080 4,354,040 2,177,020 1,088,510 544,255 1,632,766 816,383 2,449,150 1,224,575 3,673,726 1,836,863 5,510,590 2,755,295 8,265,886 4,132,943 12,398,830 6,199,415 18,598,246 9,299,123 27,897,370 13,948,685 41,846,056 20,923,028 10,461,514 5,230,757 15,692,272 7,846,136 3,923,068 1,961,534 980,767 2,942,302 1,471,151 4,413,454 2,206,727 6,620,182 3,310,091 9,930,274 4,965,137 14,895,412 7,447,706 3,723,853 11,171,560 5,585,780 2,792,890 1,396,445 4,189,336 2,094,668 1,047,334 523,667 1,571,002 785,501 2,356,504 1,178,252 589,126 294,563 883,690 441,845 1,325,536 662,768 331,384

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