3,559,977

3³ × 79 × 1669

3,559,977 factors as 3^3 × 79 × 1669. Its 16 positive divisors give a proper-divisor sum of 1,784,023, so this integer is deficient. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 3^3 × 79 × 1669

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,344,000

Proper Divisor Sum 1,784,023

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3559967 ← → #3559979

Radix Representation

Decimal	3559977
Binary	1101100101001000101001 (22 bits)
Octal	0o15451051
Hexadecimal	0x365229

Divisor Catalog (16)

1 3 9 27 79 237 711 1,669 2,133 5,007 15,021 45,063 131,851 395,553 1,186,659 3,559,977

Collatz Trajectory (265 steps to reach 1)

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

3,559,977 10,679,932 5,339,966 2,669,983 8,009,950 4,004,975 12,014,926 6,007,463 18,022,390 9,011,195 27,033,586 13,516,793 40,550,380 20,275,190 10,137,595 30,412,786 15,206,393 45,619,180 22,809,590 11,404,795 34,214,386 17,107,193 51,321,580 25,660,790 12,830,395 38,491,186 19,245,593 57,736,780 28,868,390 14,434,195 43,302,586 21,651,293 64,953,880 32,476,940 16,238,470 8,119,235 24,357,706 12,178,853 36,536,560 18,268,280 9,134,140 4,567,070 2,283,535 6,850,606 3,425,303 10,275,910 5,137,955 15,413,866 7,706,933 23,120,800 11,560,400 5,780,200 2,890,100 1,445,050 722,525 2,167,576 1,083,788 541,894 270,947 812,842

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