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Atlas › Integer Profiles › Node 5,664,064

5,664,064

26 × 7 × 47 × 269
Abundant Even Composite

5,664,064 factors as 2^6 × 7 × 47 × 269. Its 56 positive divisors give a proper-divisor sum of 7,503,296, so this integer is abundant. The Collatz stopping time is 51 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 47 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 13,167,360
Proper Divisor Sum 7,503,296
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5664053 ← → #5664067

Radix Representation

Decimal 5664064
Binary 10101100110110101000000 (23 bits)
Octal 0o25466500
Hexadecimal 0x566D40

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 269 329 376 448 538 658 752 1,076 1,316 1,504 1,883 2,152 2,632 3,008 3,766 4,304 5,264 7,532 8,608 10,528 12,643 15,064 17,216 21,056 25,286 30,128 50,572 60,256 88,501 101,144 120,512 177,002 202,288 354,004 404,576 708,008 809,152 1,416,016 2,832,032 5,664,064

Collatz Trajectory (51 steps to reach 1)

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

5,664,064 2,832,032 1,416,016 708,008 354,004 177,002 88,501 265,504 132,752 66,376 33,188 16,594 8,297 24,892 12,446 6,223 18,670 9,335 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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