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Atlas › Integer Profiles › Node 3,559,941

3,559,941

32 × 7 × 112 × 467
Deficient Odd Composite

3,559,941 factors as 3^2 × 7 × 11^2 × 467. Its 36 positive divisors give a proper-divisor sum of 2,913,435, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 11^2 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,473,376
Proper Divisor Sum 2,913,435
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3559931 ← → #3559949

Radix Representation

Decimal 3559941
Binary 1101100101001000000101 (22 bits)
Octal 0o15451005
Hexadecimal 0x365205

Divisor Catalog (36)

1 3 7 9 11 21 33 63 77 99 121 231 363 467 693 847 1,089 1,401 2,541 3,269 4,203 5,137 7,623 9,807 15,411 29,421 35,959 46,233 56,507 107,877 169,521 323,631 395,549 508,563 1,186,647 3,559,941

Collatz Trajectory (203 steps to reach 1)

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

3,559,941 10,679,824 5,339,912 2,669,956 1,334,978 667,489 2,002,468 1,001,234 500,617 1,501,852 750,926 375,463 1,126,390 563,195 1,689,586 844,793 2,534,380 1,267,190 633,595 1,900,786 950,393 2,851,180 1,425,590 712,795 2,138,386 1,069,193 3,207,580 1,603,790 801,895 2,405,686 1,202,843 3,608,530 1,804,265 5,412,796 2,706,398 1,353,199 4,059,598 2,029,799 6,089,398 3,044,699 9,134,098 4,567,049 13,701,148 6,850,574 3,425,287 10,275,862 5,137,931 15,413,794 7,706,897 23,120,692 11,560,346 5,780,173 17,340,520 8,670,260 4,335,130 2,167,565 6,502,696 3,251,348 1,625,674 812,837

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