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Atlas › Integer Profiles › Node 17,524,096

17,524,096

27 × 79 × 1733
Abundant Even Composite

17,524,096 factors as 2^7 × 79 × 1733. Its 32 positive divisors give a proper-divisor sum of 17,849,504, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^7 × 79 × 1733
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 35,373,600
Proper Divisor Sum 17,849,504
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #17524063 ← → #17524103

Radix Representation

Decimal 17524096
Binary 1000010110110010110000000 (25 bits)
Octal 0o102662600
Hexadecimal 0x10B6580

Divisor Catalog (32)

1 2 4 8 16 32 64 79 128 158 316 632 1,264 1,733 2,528 3,466 5,056 6,932 10,112 13,864 27,728 55,456 110,912 136,907 221,824 273,814 547,628 1,095,256 2,190,512 4,381,024 8,762,048 17,524,096

Collatz Trajectory (89 steps to reach 1)

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

17,524,096 8,762,048 4,381,024 2,190,512 1,095,256 547,628 273,814 136,907 410,722 205,361 616,084 308,042 154,021 462,064 231,032 115,516 57,758 28,879 86,638 43,319 129,958 64,979 194,938 97,469 292,408 146,204 73,102 36,551 109,654 54,827 164,482 82,241 246,724 123,362 61,681 185,044 92,522 46,261 138,784 69,392 34,696 17,348 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86

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