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6,848,740

22 × 5 × 19 × 67 × 269
Abundant Even Composite

6,848,740 factors as 2^2 × 5 × 19 × 67 × 269. Its 48 positive divisors give a proper-divisor sum of 8,573,660, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 67 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,422,400
Proper Divisor Sum 8,573,660
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6848717 ← → #6848741

Radix Representation

Decimal 6848740
Binary 11010001000000011100100 (23 bits)
Octal 0o32100344
Hexadecimal 0x6880E4

Divisor Catalog (48)

1 2 4 5 10 19 20 38 67 76 95 134 190 268 269 335 380 538 670 1,076 1,273 1,340 1,345 2,546 2,690 5,092 5,111 5,380 6,365 10,222 12,730 18,023 20,444 25,460 25,555 36,046 51,110 72,092 90,115 102,220 180,230 342,437 360,460 684,874 1,369,748 1,712,185 3,424,370 6,848,740

Collatz Trajectory (59 steps to reach 1)

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

6,848,740 3,424,370 1,712,185 5,136,556 2,568,278 1,284,139 3,852,418 1,926,209 5,778,628 2,889,314 1,444,657 4,333,972 2,166,986 1,083,493 3,250,480 1,625,240 812,620 406,310 203,155 609,466 304,733 914,200 457,100 228,550 114,275 342,826 171,413 514,240 257,120 128,560 64,280 32,140 16,070 8,035 24,106 12,053 36,160 18,080 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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