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Atlas › Integer Profiles › Node 6,790,635

6,790,635

310 × 5 × 23
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^10 × 5 × 23
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 12,754,512
Proper Divisor Sum 5,963,877
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6790631 ← → #6790649

Radix Representation

Decimal 6790635
Binary 11001111001110111101011 (23 bits)
Octal 0o31716753
Hexadecimal 0x679DEB

Divisor Catalog (44)

1 3 5 9 15 23 27 45 69 81 115 135 207 243 345 405 621 729 1,035 1,215 1,863 2,187 3,105 3,645 5,589 6,561 9,315 10,935 16,767 19,683 27,945 32,805 50,301 59,049 83,835 98,415 150,903 251,505 295,245 452,709 754,515 1,358,127 2,263,545 6,790,635

Collatz Trajectory (160 steps to reach 1)

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

6,790,635 20,371,906 10,185,953 30,557,860 15,278,930 7,639,465 22,918,396 11,459,198 5,729,599 17,188,798 8,594,399 25,783,198 12,891,599 38,674,798 19,337,399 58,012,198 29,006,099 87,018,298 43,509,149 130,527,448 65,263,724 32,631,862 16,315,931 48,947,794 24,473,897 73,421,692 36,710,846 18,355,423 55,066,270 27,533,135 82,599,406 41,299,703 123,899,110 61,949,555 185,848,666 92,924,333 278,773,000 139,386,500 69,693,250 34,846,625 104,539,876 52,269,938 26,134,969 78,404,908 39,202,454 19,601,227 58,803,682 29,401,841 88,205,524 44,102,762 22,051,381 66,154,144 33,077,072 16,538,536 8,269,268 4,134,634 2,067,317 6,201,952 3,100,976 1,550,488

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