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Atlas › Integer Profiles › Node 40,200,060

40,200,060

22 × 3 × 5 × 670001
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 670001
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 112,560,336
Proper Divisor Sum 72,360,276
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #40199983 ← → #40200071

Radix Representation

Decimal 40200060
Binary 10011001010110011101111100 (26 bits)
Octal 0o231263574
Hexadecimal 0x265677C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 670,001 1,340,002 2,010,003 2,680,004 3,350,005 4,020,006 6,700,010 8,040,012 10,050,015 13,400,020 20,100,030 40,200,060

Collatz Trajectory (284 steps to reach 1)

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

40,200,060 20,100,030 10,050,015 30,150,046 15,075,023 45,225,070 22,612,535 67,837,606 33,918,803 101,756,410 50,878,205 152,634,616 76,317,308 38,158,654 19,079,327 57,237,982 28,618,991 85,856,974 42,928,487 128,785,462 64,392,731 193,178,194 96,589,097 289,767,292 144,883,646 72,441,823 217,325,470 108,662,735 325,988,206 162,994,103 488,982,310 244,491,155 733,473,466 366,736,733 1,100,210,200 550,105,100 275,052,550 137,526,275 412,578,826 206,289,413 618,868,240 309,434,120 154,717,060 77,358,530 38,679,265 116,037,796 58,018,898 29,009,449 87,028,348 43,514,174 21,757,087 65,271,262 32,635,631 97,906,894 48,953,447 146,860,342 73,430,171 220,290,514 110,145,257 330,435,772

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