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Atlas › Integer Profiles › Node 17,801,908

17,801,908

22 × 232 × 47 × 179
Deficient Even Composite

17,801,908 factors as 2^2 × 23^2 × 47 × 179. Its 36 positive divisors give a proper-divisor sum of 15,643,532, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 23^2 × 47 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 33,445,440
Proper Divisor Sum 15,643,532
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #17801897 ← → #17801909

Radix Representation

Decimal 17801908
Binary 1000011111010001010110100 (25 bits)
Octal 0o103721264
Hexadecimal 0x10FA2B4

Divisor Catalog (36)

1 2 4 23 46 47 92 94 179 188 358 529 716 1,058 1,081 2,116 2,162 4,117 4,324 8,234 8,413 16,468 16,826 24,863 33,652 49,726 94,691 99,452 189,382 193,499 378,764 386,998 773,996 4,450,477 8,900,954 17,801,908

Collatz Trajectory (89 steps to reach 1)

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

17,801,908 8,900,954 4,450,477 13,351,432 6,675,716 3,337,858 1,668,929 5,006,788 2,503,394 1,251,697 3,755,092 1,877,546 938,773 2,816,320 1,408,160 704,080 352,040 176,020 88,010 44,005 132,016 66,008 33,004 16,502 8,251 24,754 12,377 37,132 18,566 9,283 27,850 13,925 41,776 20,888 10,444 5,222 2,611 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524

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