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Atlas › Integer Profiles › Node 6,843,529

6,843,529

7 × 11 × 31 × 47 × 61
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 11 × 31 × 47 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,142,272
Proper Divisor Sum 2,298,743
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6843521 ← → #6843539

Radix Representation

Decimal 6843529
Binary 11010000110110010001001 (23 bits)
Octal 0o32066211
Hexadecimal 0x686C89

Divisor Catalog (32)

1 7 11 31 47 61 77 217 329 341 427 517 671 1,457 1,891 2,387 2,867 3,619 4,697 10,199 13,237 16,027 20,069 20,801 31,537 88,877 112,189 145,607 220,759 622,139 977,647 6,843,529

Collatz Trajectory (134 steps to reach 1)

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

6,843,529 20,530,588 10,265,294 5,132,647 15,397,942 7,698,971 23,096,914 11,548,457 34,645,372 17,322,686 8,661,343 25,984,030 12,992,015 38,976,046 19,488,023 58,464,070 29,232,035 87,696,106 43,848,053 131,544,160 65,772,080 32,886,040 16,443,020 8,221,510 4,110,755 12,332,266 6,166,133 18,498,400 9,249,200 4,624,600 2,312,300 1,156,150 578,075 1,734,226 867,113 2,601,340 1,300,670 650,335 1,951,006 975,503 2,926,510 1,463,255 4,389,766 2,194,883 6,584,650 3,292,325 9,876,976 4,938,488 2,469,244 1,234,622 617,311 1,851,934 925,967 2,777,902 1,388,951 4,166,854 2,083,427 6,250,282 3,125,141 9,375,424

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