17,513,506

2 × 29 × 37 × 8161

17,513,506 factors as 2 × 29 × 37 × 8161. Its 16 positive divisors give a proper-divisor sum of 10,400,534, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 29 × 37 × 8161

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 27,914,040

Proper Divisor Sum 10,400,534

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #17513471 ← → #17513533

Radix Representation

Decimal	17513506
Binary	1000010110011110000100010 (25 bits)
Octal	0o102636042
Hexadecimal	0x10B3C22

Divisor Catalog (16)

1 2 29 37 58 74 1,073 2,146 8,161 16,322 236,669 301,957 473,338 603,914 8,756,753 17,513,506

Collatz Trajectory (169 steps to reach 1)

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

17,513,506 8,756,753 26,270,260 13,135,130 6,567,565 19,702,696 9,851,348 4,925,674 2,462,837 7,388,512 3,694,256 1,847,128 923,564 461,782 230,891 692,674 346,337 1,039,012 519,506 259,753 779,260 389,630 194,815 584,446 292,223 876,670 438,335 1,315,006 657,503 1,972,510 986,255 2,958,766 1,479,383 4,438,150 2,219,075 6,657,226 3,328,613 9,985,840 4,992,920 2,496,460 1,248,230 624,115 1,872,346 936,173 2,808,520 1,404,260 702,130 351,065 1,053,196 526,598 263,299 789,898 394,949 1,184,848 592,424 296,212 148,106 74,053 222,160 111,080

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