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Atlas › Integer Profiles › Node 6,616,840

6,616,840

23 × 5 × 43 × 3847
Abundant Even Composite

6,616,840 factors as 2^3 × 5 × 43 × 3847. Its 32 positive divisors give a proper-divisor sum of 8,621,240, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 43 × 3847
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,238,080
Proper Divisor Sum 8,621,240
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6616837 ← → #6616861

Radix Representation

Decimal 6616840
Binary 11001001111011100001000 (23 bits)
Octal 0o31173410
Hexadecimal 0x64F708

Divisor Catalog (32)

1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1,720 3,847 7,694 15,388 19,235 30,776 38,470 76,940 153,880 165,421 330,842 661,684 827,105 1,323,368 1,654,210 3,308,420 6,616,840

Collatz Trajectory (178 steps to reach 1)

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

6,616,840 3,308,420 1,654,210 827,105 2,481,316 1,240,658 620,329 1,860,988 930,494 465,247 1,395,742 697,871 2,093,614 1,046,807 3,140,422 1,570,211 4,710,634 2,355,317 7,065,952 3,532,976 1,766,488 883,244 441,622 220,811 662,434 331,217 993,652 496,826 248,413 745,240 372,620 186,310 93,155 279,466 139,733 419,200 209,600 104,800 52,400 26,200 13,100 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168

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