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Atlas › Integer Profiles › Node 17,520,448

17,520,448

26 × 11 × 41 × 607
Abundant Even Composite

17,520,448 factors as 2^6 × 11 × 41 × 607. Its 56 positive divisors give a proper-divisor sum of 21,396,416, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 41 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 38,916,864
Proper Divisor Sum 21,396,416
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #17520427 ← → #17520469

Radix Representation

Decimal 17520448
Binary 1000010110101011101000000 (25 bits)
Octal 0o102653500
Hexadecimal 0x10B5740

Divisor Catalog (56)

1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 607 656 704 902 1,214 1,312 1,804 2,428 2,624 3,608 4,856 6,677 7,216 9,712 13,354 14,432 19,424 24,887 26,708 28,864 38,848 49,774 53,416 99,548 106,832 199,096 213,664 273,757 398,192 427,328 547,514 796,384 1,095,028 1,592,768 2,190,056 4,380,112 8,760,224 17,520,448

Collatz Trajectory (63 steps to reach 1)

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

17,520,448 8,760,224 4,380,112 2,190,056 1,095,028 547,514 273,757 821,272 410,636 205,318 102,659 307,978 153,989 461,968 230,984 115,492 57,746 28,873 86,620 43,310 21,655 64,966 32,483 97,450 48,725 146,176 73,088 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16

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