λ
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Atlas › Integer Profiles › Node 17,511,879

17,511,879

3 × 7 × 11 × 41 × 432
Deficient Odd Composite

17,511,879 factors as 3 × 7 × 11 × 41 × 43^2. Its 48 positive divisors give a proper-divisor sum of 13,018,425, so this integer is deficient. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 41 × 43^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,530,304
Proper Divisor Sum 13,018,425
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #17511877 ← → #17511881

Radix Representation

Decimal 17511879
Binary 1000010110011010111000111 (25 bits)
Octal 0o102632707
Hexadecimal 0x10B35C7

Divisor Catalog (48)

1 3 7 11 21 33 41 43 77 123 129 231 287 301 451 473 861 903 1,353 1,419 1,763 1,849 3,157 3,311 5,289 5,547 9,471 9,933 12,341 12,943 19,393 20,339 37,023 38,829 58,179 61,017 75,809 135,751 142,373 227,427 407,253 427,119 530,663 833,899 1,591,989 2,501,697 5,837,293 17,511,879

Collatz Trajectory (244 steps to reach 1)

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

17,511,879 52,535,638 26,267,819 78,803,458 39,401,729 118,205,188 59,102,594 29,551,297 88,653,892 44,326,946 22,163,473 66,490,420 33,245,210 16,622,605 49,867,816 24,933,908 12,466,954 6,233,477 18,700,432 9,350,216 4,675,108 2,337,554 1,168,777 3,506,332 1,753,166 876,583 2,629,750 1,314,875 3,944,626 1,972,313 5,916,940 2,958,470 1,479,235 4,437,706 2,218,853 6,656,560 3,328,280 1,664,140 832,070 416,035 1,248,106 624,053 1,872,160 936,080 468,040 234,020 117,010 58,505 175,516 87,758 43,879 131,638 65,819 197,458 98,729 296,188 148,094 74,047 222,142 111,071

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