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Atlas › Integer Profiles › Node 6,182,396

6,182,396

22 × 11 × 71 × 1979
Deficient Even Composite

6,182,396 factors as 2^2 × 11 × 71 × 1979. Its 24 positive divisors give a proper-divisor sum of 5,792,644, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 71 × 1979
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,975,040
Proper Divisor Sum 5,792,644
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6182389 ← → #6182401

Radix Representation

Decimal 6182396
Binary 10111100101010111111100 (23 bits)
Octal 0o27452774
Hexadecimal 0x5E55FC

Divisor Catalog (24)

1 2 4 11 22 44 71 142 284 781 1,562 1,979 3,124 3,958 7,916 21,769 43,538 87,076 140,509 281,018 562,036 1,545,599 3,091,198 6,182,396

Collatz Trajectory (165 steps to reach 1)

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

6,182,396 3,091,198 1,545,599 4,636,798 2,318,399 6,955,198 3,477,599 10,432,798 5,216,399 15,649,198 7,824,599 23,473,798 11,736,899 35,210,698 17,605,349 52,816,048 26,408,024 13,204,012 6,602,006 3,301,003 9,903,010 4,951,505 14,854,516 7,427,258 3,713,629 11,140,888 5,570,444 2,785,222 1,392,611 4,177,834 2,088,917 6,266,752 3,133,376 1,566,688 783,344 391,672 195,836 97,918 48,959 146,878 73,439 220,318 110,159 330,478 165,239 495,718 247,859 743,578 371,789 1,115,368 557,684 278,842 139,421 418,264 209,132 104,566 52,283 156,850 78,425 235,276

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