λ
Ratio Atlas

17,523,647

17523647
Deficient Odd Prime

17,523,647 factors as 17523647. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 17523647
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 17,523,648
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #17523629 ← → #17523659

Radix Representation

Decimal 17523647
Binary 1000010110110001110111111 (25 bits)
Octal 0o102661677
Hexadecimal 0x10B63BF

Divisor Catalog (2)

Collatz Trajectory (275 steps to reach 1)

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

17,523,647 52,570,942 26,285,471 78,856,414 39,428,207 118,284,622 59,142,311 177,426,934 88,713,467 266,140,402 133,070,201 399,210,604 199,605,302 99,802,651 299,407,954 149,703,977 449,111,932 224,555,966 112,277,983 336,833,950 168,416,975 505,250,926 252,625,463 757,876,390 378,938,195 1,136,814,586 568,407,293 1,705,221,880 852,610,940 426,305,470 213,152,735 639,458,206 319,729,103 959,187,310 479,593,655 1,438,780,966 719,390,483 2,158,171,450 1,079,085,725 3,237,257,176 1,618,628,588 809,314,294 404,657,147 1,213,971,442 606,985,721 1,820,957,164 910,478,582 455,239,291 1,365,717,874 682,858,937 2,048,576,812 1,024,288,406 512,144,203 1,536,432,610 768,216,305 2,304,648,916 1,152,324,458 576,162,229 1,728,486,688 864,243,344

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