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5,417,984

210 × 11 × 13 × 37
Abundant Even Composite

5,417,984 factors as 2^10 × 11 × 13 × 37. Its 88 positive divisors give a proper-divisor sum of 7,650,064, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^10 × 11 × 13 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 88
Divisor Sum (σ) 13,068,048
Proper Divisor Sum 7,650,064
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5417977 ← → #5417989

Radix Representation

Decimal 5417984
Binary 10100101010110000000000 (23 bits)
Octal 0o24526000
Hexadecimal 0x52AC00

Divisor Catalog (60 of 88)

1 2 4 8 11 13 16 22 26 32 37 44 52 64 74 88 104 128 143 148 176 208 256 286 296 352 407 416 481 512 572 592 704 814 832 962 1,024 1,144 1,184 1,408 1,628 1,664 1,924 2,288 2,368 2,816 3,256 3,328 3,848 4,576 4,736 5,291 5,632 6,512 6,656 7,696 9,152 9,472 10,582 11,264

Collatz Trajectory (64 steps to reach 1)

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

5,417,984 2,708,992 1,354,496 677,248 338,624 169,312 84,656 42,328 21,164 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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