λ
Sigma Notebook

5,601,040

24 × 5 × 53 × 1321
Abundant Even Composite

5,601,040 is even and not a perfect square. Its factorization is 2^4 × 5 × 53 × 1321 and its 40 divisors sum to 13,278,168.

Prime Factor Structure

Factorization String 2^4 × 5 × 53 × 1321
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,278,168
Proper Divisor Sum 7,677,128
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #5601017 ← → #5601061

Radix Representation

Decimal 5601040
Binary 10101010111011100010000 (23 bits)
Octal 0o25273420
Hexadecimal 0x557710

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1,060 1,321 2,120 2,642 4,240 5,284 6,605 10,568 13,210 21,136 26,420 52,840 70,013 105,680 140,026 280,052 350,065 560,104 700,130 1,120,208 1,400,260 2,800,520 5,601,040

Collatz Trajectory (108 steps to reach 1)

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

5,601,040 2,800,520 1,400,260 700,130 350,065 1,050,196 525,098 262,549 787,648 393,824 196,912 98,456 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989

More profiles

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