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Atlas › Integer Profiles › Node 33,242,520

33,242,520

23 × 3 × 5 × 277021
Abundant Even Composite

33,242,520 factors as 2^3 × 3 × 5 × 277021. Its 32 positive divisors give a proper-divisor sum of 66,485,400, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 277021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 99,727,920
Proper Divisor Sum 66,485,400
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #33242507 ← → #33242549

Radix Representation

Decimal 33242520
Binary 1111110110011110110011000 (25 bits)
Octal 0o176636630
Hexadecimal 0x1FB3D98

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277,021 554,042 831,063 1,108,084 1,385,105 1,662,126 2,216,168 2,770,210 3,324,252 4,155,315 5,540,420 6,648,504 8,310,630 11,080,840 16,621,260 33,242,520

Collatz Trajectory (201 steps to reach 1)

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

33,242,520 16,621,260 8,310,630 4,155,315 12,465,946 6,232,973 18,698,920 9,349,460 4,674,730 2,337,365 7,012,096 3,506,048 1,753,024 876,512 438,256 219,128 109,564 54,782 27,391 82,174 41,087 123,262 61,631 184,894 92,447 277,342 138,671 416,014 208,007 624,022 312,011 936,034 468,017 1,404,052 702,026 351,013 1,053,040 526,520 263,260 131,630 65,815 197,446 98,723 296,170 148,085 444,256 222,128 111,064 55,532 27,766 13,883 41,650 20,825 62,476 31,238 15,619 46,858 23,429 70,288 35,144

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