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Atlas › Integer Profiles › Node 4,411,017

4,411,017

34 × 13 × 59 × 71
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 13 × 59 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,318,080
Proper Divisor Sum 2,907,063
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4411013 ← → #4411019

Radix Representation

Decimal 4411017
Binary 10000110100111010001001 (23 bits)
Octal 0o20647211
Hexadecimal 0x434E89

Divisor Catalog (40)

1 3 9 13 27 39 59 71 81 117 177 213 351 531 639 767 923 1,053 1,593 1,917 2,301 2,769 4,189 4,779 5,751 6,903 8,307 12,567 20,709 24,921 37,701 54,457 62,127 74,763 113,103 163,371 339,309 490,113 1,470,339 4,411,017

Collatz Trajectory (255 steps to reach 1)

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

4,411,017 13,233,052 6,616,526 3,308,263 9,924,790 4,962,395 14,887,186 7,443,593 22,330,780 11,165,390 5,582,695 16,748,086 8,374,043 25,122,130 12,561,065 37,683,196 18,841,598 9,420,799 28,262,398 14,131,199 42,393,598 21,196,799 63,590,398 31,795,199 95,385,598 47,692,799 143,078,398 71,539,199 214,617,598 107,308,799 321,926,398 160,963,199 482,889,598 241,444,799 724,334,398 362,167,199 1,086,501,598 543,250,799 1,629,752,398 814,876,199 2,444,628,598 1,222,314,299 3,666,942,898 1,833,471,449 5,500,414,348 2,750,207,174 1,375,103,587 4,125,310,762 2,062,655,381 6,187,966,144 3,093,983,072 1,546,991,536 773,495,768 386,747,884 193,373,942 96,686,971 290,060,914 145,030,457 435,091,372 217,545,686

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