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Atlas › Integer Profiles › Node 4,699,338

4,699,338

2 × 3 × 7 × 41 × 2729
Abundant Even Composite

4,699,338 factors as 2 × 3 × 7 × 41 × 2729. Its 32 positive divisors give a proper-divisor sum of 6,308,022, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 41 × 2729
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,007,360
Proper Divisor Sum 6,308,022
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4699283 ← → #4699339

Radix Representation

Decimal 4699338
Binary 10001111011010011001010 (23 bits)
Octal 0o21732312
Hexadecimal 0x47B4CA

Divisor Catalog (32)

1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1,722 2,729 5,458 8,187 16,374 19,103 38,206 57,309 111,889 114,618 223,778 335,667 671,334 783,223 1,566,446 2,349,669 4,699,338

Collatz Trajectory (131 steps to reach 1)

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

4,699,338 2,349,669 7,049,008 3,524,504 1,762,252 881,126 440,563 1,321,690 660,845 1,982,536 991,268 495,634 247,817 743,452 371,726 185,863 557,590 278,795 836,386 418,193 1,254,580 627,290 313,645 940,936 470,468 235,234 117,617 352,852 176,426 88,213 264,640 132,320 66,160 33,080 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972

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