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Atlas › Integer Profiles › Node 6,878,320

6,878,320

24 × 5 × 127 × 677
Abundant Even Composite

6,878,320 factors as 2^4 × 5 × 127 × 677. Its 40 positive divisors give a proper-divisor sum of 9,263,504, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 127 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,141,824
Proper Divisor Sum 9,263,504
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6878273 ← → #6878321

Radix Representation

Decimal 6878320
Binary 11010001111010001110000 (23 bits)
Octal 0o32172160
Hexadecimal 0x68F470

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 127 254 508 635 677 1,016 1,270 1,354 2,032 2,540 2,708 3,385 5,080 5,416 6,770 10,160 10,832 13,540 27,080 54,160 85,979 171,958 343,916 429,895 687,832 859,790 1,375,664 1,719,580 3,439,160 6,878,320

Collatz Trajectory (191 steps to reach 1)

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

6,878,320 3,439,160 1,719,580 859,790 429,895 1,289,686 644,843 1,934,530 967,265 2,901,796 1,450,898 725,449 2,176,348 1,088,174 544,087 1,632,262 816,131 2,448,394 1,224,197 3,672,592 1,836,296 918,148 459,074 229,537 688,612 344,306 172,153 516,460 258,230 129,115 387,346 193,673 581,020 290,510 145,255 435,766 217,883 653,650 326,825 980,476 490,238 245,119 735,358 367,679 1,103,038 551,519 1,654,558 827,279 2,481,838 1,240,919 3,722,758 1,861,379 5,584,138 2,792,069 8,376,208 4,188,104 2,094,052 1,047,026 523,513 1,570,540

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