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Atlas › Integer Profiles › Node 17,529,248

17,529,248

25 × 11 × 19 × 2621
Abundant Even Composite

17,529,248 factors as 2^5 × 11 × 19 × 2621. Its 48 positive divisors give a proper-divisor sum of 22,115,392, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 19 × 2621
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 39,644,640
Proper Divisor Sum 22,115,392
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #17529233 ← → #17529269

Radix Representation

Decimal 17529248
Binary 1000010110111100110100000 (25 bits)
Octal 0o102674640
Hexadecimal 0x10B79A0

Divisor Catalog (48)

1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1,672 2,621 3,344 5,242 6,688 10,484 20,968 28,831 41,936 49,799 57,662 83,872 99,598 115,324 199,196 230,648 398,392 461,296 547,789 796,784 922,592 1,095,578 1,593,568 2,191,156 4,382,312 8,764,624 17,529,248

Collatz Trajectory (120 steps to reach 1)

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

17,529,248 8,764,624 4,382,312 2,191,156 1,095,578 547,789 1,643,368 821,684 410,842 205,421 616,264 308,132 154,066 77,033 231,100 115,550 57,775 173,326 86,663 259,990 129,995 389,986 194,993 584,980 292,490 146,245 438,736 219,368 109,684 54,842 27,421 82,264 41,132 20,566 10,283 30,850 15,425 46,276 23,138 11,569 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091

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