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Atlas › Integer Profiles › Node 3,589,080

3,589,080

23 × 3 × 5 × 11 × 2719
Abundant Even Composite

3,589,080 factors as 2^3 × 3 × 5 × 11 × 2719. Its 64 positive divisors give a proper-divisor sum of 8,161,320, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 2719
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,750,400
Proper Divisor Sum 8,161,320
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3589073 ← → #3589133

Radix Representation

Decimal 3589080
Binary 1101101100001111011000 (22 bits)
Octal 0o15541730
Hexadecimal 0x36C3D8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1,320 2,719 5,438 8,157 10,876 13,595 16,314 21,752 27,190 29,909 32,628 40,785 54,380 59,818 65,256 81,570 89,727 108,760 119,636 149,545 163,140 179,454 239,272 299,090 326,280 358,908 448,635 598,180 717,816

Collatz Trajectory (203 steps to reach 1)

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

3,589,080 1,794,540 897,270 448,635 1,345,906 672,953 2,018,860 1,009,430 504,715 1,514,146 757,073 2,271,220 1,135,610 567,805 1,703,416 851,708 425,854 212,927 638,782 319,391 958,174 479,087 1,437,262 718,631 2,155,894 1,077,947 3,233,842 1,616,921 4,850,764 2,425,382 1,212,691 3,638,074 1,819,037 5,457,112 2,728,556 1,364,278 682,139 2,046,418 1,023,209 3,069,628 1,534,814 767,407 2,302,222 1,151,111 3,453,334 1,726,667 5,180,002 2,590,001 7,770,004 3,885,002 1,942,501 5,827,504 2,913,752 1,456,876 728,438 364,219 1,092,658 546,329 1,638,988 819,494

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