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4,890,640

24 × 5 × 113 × 541
Abundant Even Composite

4,890,640 factors as 2^4 × 5 × 113 × 541. Its 40 positive divisors give a proper-divisor sum of 6,601,928, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 113 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 11,492,568
Proper Divisor Sum 6,601,928
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4890637 ← → #4890659

Radix Representation

Decimal 4890640
Binary 10010101010000000010000 (23 bits)
Octal 0o22520020
Hexadecimal 0x4AA010

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 113 226 452 541 565 904 1,082 1,130 1,808 2,164 2,260 2,705 4,328 4,520 5,410 8,656 9,040 10,820 21,640 43,280 61,133 122,266 244,532 305,665 489,064 611,330 978,128 1,222,660 2,445,320 4,890,640

Collatz Trajectory (69 steps to reach 1)

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

4,890,640 2,445,320 1,222,660 611,330 305,665 916,996 458,498 229,249 687,748 343,874 171,937 515,812 257,906 128,953 386,860 193,430 96,715 290,146 145,073 435,220 217,610 108,805 326,416 163,208 81,604 40,802 20,401 61,204 30,602 15,301 45,904 22,952 11,476 5,738 2,869 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

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