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Atlas › Integer Profiles › Node 17,513,475

17,513,475

3 × 52 × 7 × 33359
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 33359
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 33,093,120
Proper Divisor Sum 15,579,645
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17513471 ← → #17513533

Radix Representation

Decimal 17513475
Binary 1000010110011110000000011 (25 bits)
Octal 0o102636003
Hexadecimal 0x10B3C03

Divisor Catalog (24)

1 3 5 7 15 21 25 35 75 105 175 525 33,359 100,077 166,795 233,513 500,385 700,539 833,975 1,167,565 2,501,925 3,502,695 5,837,825 17,513,475

Collatz Trajectory (288 steps to reach 1)

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

17,513,475 52,540,426 26,270,213 78,810,640 39,405,320 19,702,660 9,851,330 4,925,665 14,776,996 7,388,498 3,694,249 11,082,748 5,541,374 2,770,687 8,312,062 4,156,031 12,468,094 6,234,047 18,702,142 9,351,071 28,053,214 14,026,607 42,079,822 21,039,911 63,119,734 31,559,867 94,679,602 47,339,801 142,019,404 71,009,702 35,504,851 106,514,554 53,257,277 159,771,832 79,885,916 39,942,958 19,971,479 59,914,438 29,957,219 89,871,658 44,935,829 134,807,488 67,403,744 33,701,872 16,850,936 8,425,468 4,212,734 2,106,367 6,319,102 3,159,551 9,478,654 4,739,327 14,217,982 7,108,991 21,326,974 10,663,487 31,990,462 15,995,231 47,985,694 23,992,847

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