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Atlas › Integer Profiles › Node 7,991,775

7,991,775

32 × 52 × 11 × 3229
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 11 × 3229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,620,280
Proper Divisor Sum 7,628,505
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7991773 ← → #7991777

Radix Representation

Decimal 7991775
Binary 11110011111000111011111 (23 bits)
Octal 0o36370737
Hexadecimal 0x79F1DF

Divisor Catalog (36)

1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2,475 3,229 9,687 16,145 29,061 35,519 48,435 80,725 106,557 145,305 177,595 242,175 319,671 532,785 726,525 887,975 1,598,355 2,663,925 7,991,775

Collatz Trajectory (261 steps to reach 1)

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

7,991,775 23,975,326 11,987,663 35,962,990 17,981,495 53,944,486 26,972,243 80,916,730 40,458,365 121,375,096 60,687,548 30,343,774 15,171,887 45,515,662 22,757,831 68,273,494 34,136,747 102,410,242 51,205,121 153,615,364 76,807,682 38,403,841 115,211,524 57,605,762 28,802,881 86,408,644 43,204,322 21,602,161 64,806,484 32,403,242 16,201,621 48,604,864 24,302,432 12,151,216 6,075,608 3,037,804 1,518,902 759,451 2,278,354 1,139,177 3,417,532 1,708,766 854,383 2,563,150 1,281,575 3,844,726 1,922,363 5,767,090 2,883,545 8,650,636 4,325,318 2,162,659 6,487,978 3,243,989 9,731,968 4,865,984 2,432,992 1,216,496 608,248 304,124

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