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Atlas › Integer Profiles › Node 3,955,080

3,955,080

23 × 3 × 5 × 23 × 1433
Abundant Even Composite

3,955,080 factors as 2^3 × 3 × 5 × 23 × 1433. Its 64 positive divisors give a proper-divisor sum of 8,434,680, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 23 × 1433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,389,760
Proper Divisor Sum 8,434,680
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3955079 ← → #3955087

Radix Representation

Decimal 3955080
Binary 1111000101100110001000 (22 bits)
Octal 0o17054610
Hexadecimal 0x3C5988

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1,380 1,433 2,760 2,866 4,299 5,732 7,165 8,598 11,464 14,330 17,196 21,495 28,660 32,959 34,392 42,990 57,320 65,918 85,980 98,877 131,836 164,795 171,960 197,754 263,672 329,590 395,508 494,385 659,180 791,016

Collatz Trajectory (92 steps to reach 1)

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

3,955,080 1,977,540 988,770 494,385 1,483,156 741,578 370,789 1,112,368 556,184 278,092 139,046 69,523 208,570 104,285 312,856 156,428 78,214 39,107 117,322 58,661 175,984 87,992 43,996 21,998 10,999 32,998 16,499 49,498 24,749 74,248 37,124 18,562 9,281 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192

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