λ
Sigma Notebook

5,740,695

32 × 5 × 29 × 53 × 83
Deficient Odd Composite

5,740,695 is odd and not a perfect square. Its factorization is 3^2 × 5 × 29 × 53 × 83 and its 48 divisors sum to 10,614,240.

Prime Factor Structure

Factorization String 3^2 × 5 × 29 × 53 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,614,240
Proper Divisor Sum 4,873,545
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5740687 ← → #5740699

Radix Representation

Decimal 5740695
Binary 10101111001100010010111 (23 bits)
Octal 0o25714227
Hexadecimal 0x579897

Divisor Catalog (48)

1 3 5 9 15 29 45 53 83 87 145 159 249 261 265 415 435 477 747 795 1,245 1,305 1,537 2,385 2,407 3,735 4,399 4,611 7,221 7,685 12,035 13,197 13,833 21,663 21,995 23,055 36,105 39,591 65,985 69,165 108,315 127,571 197,955 382,713 637,855 1,148,139 1,913,565 5,740,695

Collatz Trajectory (77 steps to reach 1)

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

5,740,695 17,222,086 8,611,043 25,833,130 12,916,565 38,749,696 19,374,848 9,687,424 4,843,712 2,421,856 1,210,928 605,464 302,732 151,366 75,683 227,050 113,525 340,576 170,288 85,144 42,572 21,286 10,643 31,930 15,965 47,896 23,948 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29

More profiles

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