5,779,631

11 × 13² × 3109

5,779,631 factors as 11 × 13^2 × 3109. Its 12 positive divisors give a proper-divisor sum of 1,049,929, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 11 × 13^2 × 3109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,829,560

Proper Divisor Sum 1,049,929

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5779607 ← → #5779633

Radix Representation

Decimal	5779631
Binary	10110000011000010101111 (23 bits)
Octal	0o26030257
Hexadecimal	0x5830AF

Divisor Catalog (12)

1 11 13 143 169 1,859 3,109 34,199 40,417 444,587 525,421 5,779,631

Collatz Trajectory (201 steps to reach 1)

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

5,779,631 17,338,894 8,669,447 26,008,342 13,004,171 39,012,514 19,506,257 58,518,772 29,259,386 14,629,693 43,889,080 21,944,540 10,972,270 5,486,135 16,458,406 8,229,203 24,687,610 12,343,805 37,031,416 18,515,708 9,257,854 4,628,927 13,886,782 6,943,391 20,830,174 10,415,087 31,245,262 15,622,631 46,867,894 23,433,947 70,301,842 35,150,921 105,452,764 52,726,382 26,363,191 79,089,574 39,544,787 118,634,362 59,317,181 177,951,544 88,975,772 44,487,886 22,243,943 66,731,830 33,365,915 100,097,746 50,048,873 150,146,620 75,073,310 37,536,655 112,609,966 56,304,983 168,914,950 84,457,475 253,372,426 126,686,213 380,058,640 190,029,320 95,014,660 47,507,330

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