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Atlas › Integer Profiles › Node 6,843,560

6,843,560

23 × 5 × 31 × 5519
Abundant Even Composite

6,843,560 factors as 2^3 × 5 × 31 × 5519. Its 32 positive divisors give a proper-divisor sum of 9,054,040, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 5519
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,897,600
Proper Divisor Sum 9,054,040
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6843559 ← → #6843569

Radix Representation

Decimal 6843560
Binary 11010000110110010101000 (23 bits)
Octal 0o32066250
Hexadecimal 0x686CA8

Divisor Catalog (32)

1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1,240 5,519 11,038 22,076 27,595 44,152 55,190 110,380 171,089 220,760 342,178 684,356 855,445 1,368,712 1,710,890 3,421,780 6,843,560

Collatz Trajectory (103 steps to reach 1)

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

6,843,560 3,421,780 1,710,890 855,445 2,566,336 1,283,168 641,584 320,792 160,396 80,198 40,099 120,298 60,149 180,448 90,224 45,112 22,556 11,278 5,639 16,918 8,459 25,378 12,689 38,068 19,034 9,517 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

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