λ
Ratio Atlas

5,491,040

25 × 5 × 34319
Abundant Even Composite

5,491,040 factors as 2^5 × 5 × 34319. Its 24 positive divisors give a proper-divisor sum of 7,481,920, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 34319
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,972,960
Proper Divisor Sum 7,481,920
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5491039 ← → #5491081

Radix Representation

Decimal 5491040
Binary 10100111100100101100000 (23 bits)
Octal 0o24744540
Hexadecimal 0x53C960

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 34,319 68,638 137,276 171,595 274,552 343,190 549,104 686,380 1,098,208 1,372,760 2,745,520 5,491,040

Collatz Trajectory (64 steps to reach 1)

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

5,491,040 2,745,520 1,372,760 686,380 343,190 171,595 514,786 257,393 772,180 386,090 193,045 579,136 289,568 144,784 72,392 36,196 18,098 9,049 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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