λ
Sigma Notebook

4,080,706

2 × 7 × 19 × 232 × 29
Deficient Even Composite

4,080,706 is even and not a perfect square. Its factorization is 2 × 7 × 19 × 23^2 × 29 and its 48 divisors sum to 7,963,200.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 23^2 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,963,200
Proper Divisor Sum 3,882,494
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4080691 ← → #4080707

Radix Representation

Decimal 4080706
Binary 1111100100010001000010 (22 bits)
Octal 0o17442102
Hexadecimal 0x3E4442

Divisor Catalog (48)

1 2 7 14 19 23 29 38 46 58 133 161 203 266 322 406 437 529 551 667 874 1,058 1,102 1,334 3,059 3,703 3,857 4,669 6,118 7,406 7,714 9,338 10,051 12,673 15,341 20,102 25,346 30,682 70,357 88,711 107,387 140,714 177,422 214,774 291,479 582,958 2,040,353 4,080,706

Collatz Trajectory (291 steps to reach 1)

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

4,080,706 2,040,353 6,121,060 3,060,530 1,530,265 4,590,796 2,295,398 1,147,699 3,443,098 1,721,549 5,164,648 2,582,324 1,291,162 645,581 1,936,744 968,372 484,186 242,093 726,280 363,140 181,570 90,785 272,356 136,178 68,089 204,268 102,134 51,067 153,202 76,601 229,804 114,902 57,451 172,354 86,177 258,532 129,266 64,633 193,900 96,950 48,475 145,426 72,713 218,140 109,070 54,535 163,606 81,803 245,410 122,705 368,116 184,058 92,029 276,088 138,044 69,022 34,511 103,534 51,767 155,302

More profiles

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