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Atlas › Integer Profiles › Node 17,106,916

17,106,916

22 × 19 × 31 × 53 × 137
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 19 × 31 × 53 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,384,960
Proper Divisor Sum 16,278,044
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #17106911 ← → #17106937

Radix Representation

Decimal 17106916
Binary 1000001010000011111100100 (25 bits)
Octal 0o101203744
Hexadecimal 0x10507E4

Divisor Catalog (48)

1 2 4 19 31 38 53 62 76 106 124 137 212 274 548 589 1,007 1,178 1,643 2,014 2,356 2,603 3,286 4,028 4,247 5,206 6,572 7,261 8,494 10,412 14,522 16,988 29,044 31,217 62,434 80,693 124,868 137,959 161,386 225,091 275,918 322,772 450,182 551,836 900,364 4,276,729 8,553,458 17,106,916

Collatz Trajectory (288 steps to reach 1)

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

17,106,916 8,553,458 4,276,729 12,830,188 6,415,094 3,207,547 9,622,642 4,811,321 14,433,964 7,216,982 3,608,491 10,825,474 5,412,737 16,238,212 8,119,106 4,059,553 12,178,660 6,089,330 3,044,665 9,133,996 4,566,998 2,283,499 6,850,498 3,425,249 10,275,748 5,137,874 2,568,937 7,706,812 3,853,406 1,926,703 5,780,110 2,890,055 8,670,166 4,335,083 13,005,250 6,502,625 19,507,876 9,753,938 4,876,969 14,630,908 7,315,454 3,657,727 10,973,182 5,486,591 16,459,774 8,229,887 24,689,662 12,344,831 37,034,494 18,517,247 55,551,742 27,775,871 83,327,614 41,663,807 124,991,422 62,495,711 187,487,134 93,743,567 281,230,702 140,615,351

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