λ
Sigma Notebook

5,721,375

3 × 53 × 11 × 19 × 73
Deficient Odd Composite

5,721,375 is odd and not a perfect square. Its factorization is 3 × 5^3 × 11 × 19 × 73 and its 64 divisors sum to 11,082,240.

Prime Factor Structure

Factorization String 3 × 5^3 × 11 × 19 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,082,240
Proper Divisor Sum 5,360,865
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5721371 ← → #5721389

Radix Representation

Decimal 5721375
Binary 10101110100110100011111 (23 bits)
Octal 0o25646437
Hexadecimal 0x574D1F

Divisor Catalog (60 of 64)

1 3 5 11 15 19 25 33 55 57 73 75 95 125 165 209 219 275 285 365 375 475 627 803 825 1,045 1,095 1,375 1,387 1,425 1,825 2,375 2,409 3,135 4,015 4,125 4,161 5,225 5,475 6,935 7,125 9,125 12,045 15,257 15,675 20,075 20,805 26,125 27,375 34,675 45,771 60,225 76,285 78,375 100,375 104,025 173,375 228,855 301,125 381,425

Collatz Trajectory (170 steps to reach 1)

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

5,721,375 17,164,126 8,582,063 25,746,190 12,873,095 38,619,286 19,309,643 57,928,930 28,964,465 86,893,396 43,446,698 21,723,349 65,170,048 32,585,024 16,292,512 8,146,256 4,073,128 2,036,564 1,018,282 509,141 1,527,424 763,712 381,856 190,928 95,464 47,732 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009

More profiles

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