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Atlas › Integer Profiles › Node 2,155,702

2,155,702

2 × 17 × 19 × 47 × 71
Deficient Even Composite

2,155,702 factors as 2 × 17 × 19 × 47 × 71. Its 32 positive divisors give a proper-divisor sum of 1,576,778, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 17 × 19 × 47 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,732,480
Proper Divisor Sum 1,576,778
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2155691 ← → #2155711

Radix Representation

Decimal 2155702
Binary 1000001110010010110110 (22 bits)
Octal 0o10162266
Hexadecimal 0x20E4B6

Divisor Catalog (32)

1 2 17 19 34 38 47 71 94 142 323 646 799 893 1,207 1,349 1,598 1,786 2,414 2,698 3,337 6,674 15,181 22,933 30,362 45,866 56,729 63,403 113,458 126,806 1,077,851 2,155,702

Collatz Trajectory (210 steps to reach 1)

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

2,155,702 1,077,851 3,233,554 1,616,777 4,850,332 2,425,166 1,212,583 3,637,750 1,818,875 5,456,626 2,728,313 8,184,940 4,092,470 2,046,235 6,138,706 3,069,353 9,208,060 4,604,030 2,302,015 6,906,046 3,453,023 10,359,070 5,179,535 15,538,606 7,769,303 23,307,910 11,653,955 34,961,866 17,480,933 52,442,800 26,221,400 13,110,700 6,555,350 3,277,675 9,833,026 4,916,513 14,749,540 7,374,770 3,687,385 11,062,156 5,531,078 2,765,539 8,296,618 4,148,309 12,444,928 6,222,464 3,111,232 1,555,616 777,808 388,904 194,452 97,226 48,613 145,840 72,920 36,460 18,230 9,115 27,346 13,673

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