17,515,724

2² × 137 × 31963

17,515,724 factors as 2^2 × 137 × 31963. Its 12 positive divisors give a proper-divisor sum of 13,361,500, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^2 × 137 × 31963

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 30,877,224

Proper Divisor Sum 13,361,500

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #17515721 ← → #17515727

Radix Representation

Decimal	17515724
Binary	1000010110100010011001100 (25 bits)
Octal	0o102642314
Hexadecimal	0x10B44CC

Divisor Catalog (12)

1 2 4 137 274 548 31,963 63,926 127,852 4,378,931 8,757,862 17,515,724

Collatz Trajectory (169 steps to reach 1)

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

17,515,724 8,757,862 4,378,931 13,136,794 6,568,397 19,705,192 9,852,596 4,926,298 2,463,149 7,389,448 3,694,724 1,847,362 923,681 2,771,044 1,385,522 692,761 2,078,284 1,039,142 519,571 1,558,714 779,357 2,338,072 1,169,036 584,518 292,259 876,778 438,389 1,315,168 657,584 328,792 164,396 82,198 41,099 123,298 61,649 184,948 92,474 46,237 138,712 69,356 34,678 17,339 52,018 26,009 78,028 39,014 19,507 58,522 29,261 87,784 43,892 21,946 10,973 32,920 16,460 8,230 4,115 12,346 6,173 18,520

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