λ
Sigma Notebook

6,935,739

3 × 53 × 181 × 241
Deficient Odd Composite

6,935,739 is odd and not a perfect square. Its factorization is 3 × 53 × 181 × 241 and its 16 divisors sum to 9,513,504.

Prime Factor Structure

Factorization String 3 × 53 × 181 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,513,504
Proper Divisor Sum 2,577,765
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6935717 ← → #6935749

Radix Representation

Decimal 6935739
Binary 11010011101010010111011 (23 bits)
Octal 0o32352273
Hexadecimal 0x69D4BB

Divisor Catalog (16)

1 3 53 159 181 241 543 723 9,593 12,773 28,779 38,319 43,621 130,863 2,311,913 6,935,739

Collatz Trajectory (390 steps to reach 1)

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

6,935,739 20,807,218 10,403,609 31,210,828 15,605,414 7,802,707 23,408,122 11,704,061 35,112,184 17,556,092 8,778,046 4,389,023 13,167,070 6,583,535 19,750,606 9,875,303 29,625,910 14,812,955 44,438,866 22,219,433 66,658,300 33,329,150 16,664,575 49,993,726 24,996,863 74,990,590 37,495,295 112,485,886 56,242,943 168,728,830 84,364,415 253,093,246 126,546,623 379,639,870 189,819,935 569,459,806 284,729,903 854,189,710 427,094,855 1,281,284,566 640,642,283 1,921,926,850 960,963,425 2,882,890,276 1,441,445,138 720,722,569 2,162,167,708 1,081,083,854 540,541,927 1,621,625,782 810,812,891 2,432,438,674 1,216,219,337 3,648,658,012 1,824,329,006 912,164,503 2,736,493,510 1,368,246,755 4,104,740,266 2,052,370,133

More profiles

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