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Atlas › Integer Profiles › Node 3,955,820

3,955,820

22 × 5 × 11 × 17981
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 17981
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,062,928
Proper Divisor Sum 5,107,108
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3955813 ← → #3955823

Radix Representation

Decimal 3955820
Binary 1111000101110001101100 (22 bits)
Octal 0o17056154
Hexadecimal 0x3C5C6C

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 17,981 35,962 71,924 89,905 179,810 197,791 359,620 395,582 791,164 988,955 1,977,910 3,955,820

Collatz Trajectory (247 steps to reach 1)

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

3,955,820 1,977,910 988,955 2,966,866 1,483,433 4,450,300 2,225,150 1,112,575 3,337,726 1,668,863 5,006,590 2,503,295 7,509,886 3,754,943 11,264,830 5,632,415 16,897,246 8,448,623 25,345,870 12,672,935 38,018,806 19,009,403 57,028,210 28,514,105 85,542,316 42,771,158 21,385,579 64,156,738 32,078,369 96,235,108 48,117,554 24,058,777 72,176,332 36,088,166 18,044,083 54,132,250 27,066,125 81,198,376 40,599,188 20,299,594 10,149,797 30,449,392 15,224,696 7,612,348 3,806,174 1,903,087 5,709,262 2,854,631 8,563,894 4,281,947 12,845,842 6,422,921 19,268,764 9,634,382 4,817,191 14,451,574 7,225,787 21,677,362 10,838,681 32,516,044

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