λ
Sigma Notebook

4,809,116

22 × 13 × 23 × 4021
Deficient Even Composite

4,809,116 is even and not a perfect square. Its factorization is 2^2 × 13 × 23 × 4021 and its 24 divisors sum to 9,459,744.

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 4021
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,459,744
Proper Divisor Sum 4,650,628
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4809107 ← → #4809121

Radix Representation

Decimal 4809116
Binary 10010010110000110011100 (23 bits)
Octal 0o22260634
Hexadecimal 0x49619C

Divisor Catalog (24)

1 2 4 13 23 26 46 52 92 299 598 1,196 4,021 8,042 16,084 52,273 92,483 104,546 184,966 209,092 369,932 1,202,279 2,404,558 4,809,116

Collatz Trajectory (180 steps to reach 1)

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

4,809,116 2,404,558 1,202,279 3,606,838 1,803,419 5,410,258 2,705,129 8,115,388 4,057,694 2,028,847 6,086,542 3,043,271 9,129,814 4,564,907 13,694,722 6,847,361 20,542,084 10,271,042 5,135,521 15,406,564 7,703,282 3,851,641 11,554,924 5,777,462 2,888,731 8,666,194 4,333,097 12,999,292 6,499,646 3,249,823 9,749,470 4,874,735 14,624,206 7,312,103 21,936,310 10,968,155 32,904,466 16,452,233 49,356,700 24,678,350 12,339,175 37,017,526 18,508,763 55,526,290 27,763,145 83,289,436 41,644,718 20,822,359 62,467,078 31,233,539 93,700,618 46,850,309 140,550,928 70,275,464 35,137,732 17,568,866 8,784,433 26,353,300 13,176,650 6,588,325

More profiles

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