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Atlas › Integer Profiles › Node 5,664,808

5,664,808

23 × 17 × 23 × 1811
Abundant Even Composite

5,664,808 factors as 2^3 × 17 × 23 × 1811. Its 32 positive divisors give a proper-divisor sum of 6,076,952, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 23 × 1811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,741,760
Proper Divisor Sum 6,076,952
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5664797 ← → #5664809

Radix Representation

Decimal 5664808
Binary 10101100111000000101000 (23 bits)
Octal 0o25470050
Hexadecimal 0x567028

Divisor Catalog (32)

1 2 4 8 17 23 34 46 68 92 136 184 391 782 1,564 1,811 3,128 3,622 7,244 14,488 30,787 41,653 61,574 83,306 123,148 166,612 246,296 333,224 708,101 1,416,202 2,832,404 5,664,808

Collatz Trajectory (126 steps to reach 1)

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

5,664,808 2,832,404 1,416,202 708,101 2,124,304 1,062,152 531,076 265,538 132,769 398,308 199,154 99,577 298,732 149,366 74,683 224,050 112,025 336,076 168,038 84,019 252,058 126,029 378,088 189,044 94,522 47,261 141,784 70,892 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167

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