λ
Sigma Notebook

7,023,757

13 × 409 × 1321
Deficient Odd Composite

7,023,757 is odd and not a perfect square. Its factorization is 13 × 409 × 1321 and its 8 divisors sum to 7,588,280.

Prime Factor Structure

Factorization String 13 × 409 × 1321
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,588,280
Proper Divisor Sum 564,523
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7023739 ← → #7023767

Radix Representation

Decimal 7023757
Binary 11010110010110010001101 (23 bits)
Octal 0o32626215
Hexadecimal 0x6B2C8D

Divisor Catalog (8)

1 13 409 1,321 5,317 17,173 540,289 7,023,757

Collatz Trajectory (129 steps to reach 1)

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

7,023,757 21,071,272 10,535,636 5,267,818 2,633,909 7,901,728 3,950,864 1,975,432 987,716 493,858 246,929 740,788 370,394 185,197 555,592 277,796 138,898 69,449 208,348 104,174 52,087 156,262 78,131 234,394 117,197 351,592 175,796 87,898 43,949 131,848 65,924 32,962 16,481 49,444 24,722 12,361 37,084 18,542 9,271 27,814 13,907 41,722 20,861 62,584 31,292 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427

More profiles

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