λ
Sigma Notebook

5,007,313

5007313
Deficient Odd Prime

5,007,313 is odd and not a perfect square. Its factorization is 5007313 and its 2 divisors sum to 5,007,314.

Prime Factor Structure

Factorization String 5007313
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,007,314
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5007283 ← → #5007319

Radix Representation

Decimal 5007313
Binary 10011000110011111010001 (23 bits)
Octal 0o23063721
Hexadecimal 0x4C67D1

Divisor Catalog (2)

Collatz Trajectory (113 steps to reach 1)

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

5,007,313 15,021,940 7,510,970 3,755,485 11,266,456 5,633,228 2,816,614 1,408,307 4,224,922 2,112,461 6,337,384 3,168,692 1,584,346 792,173 2,376,520 1,188,260 594,130 297,065 891,196 445,598 222,799 668,398 334,199 1,002,598 501,299 1,503,898 751,949 2,255,848 1,127,924 563,962 281,981 845,944 422,972 211,486 105,743 317,230 158,615 475,846 237,923 713,770 356,885 1,070,656 535,328 267,664 133,832 66,916 33,458 16,729 50,188 25,094 12,547 37,642 18,821 56,464 28,232 14,116 7,058 3,529 10,588 5,294

More profiles

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