17,512,220

2² × 5 × 11 × 79601

17,512,220 factors as 2^2 × 5 × 11 × 79601. Its 24 positive divisors give a proper-divisor sum of 22,607,188, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 79601

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 40,119,408

Proper Divisor Sum 22,607,188

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #17512213 ← → #17512273

Radix Representation

Decimal	17512220
Binary	1000010110011011100011100 (25 bits)
Octal	0o102633434
Hexadecimal	0x10B371C

Divisor Catalog (24)

Collatz Trajectory (182 steps to reach 1)

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

17,512,220 8,756,110 4,378,055 13,134,166 6,567,083 19,701,250 9,850,625 29,551,876 14,775,938 7,387,969 22,163,908 11,081,954 5,540,977 16,622,932 8,311,466 4,155,733 12,467,200 6,233,600 3,116,800 1,558,400 779,200 389,600 194,800 97,400 48,700 24,350 12,175 36,526 18,263 54,790 27,395 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515

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