λ
Sigma Notebook

4,047,060

22 × 3 × 5 × 37 × 1823
Abundant Even Composite

4,047,060 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 37 × 1823 and its 48 divisors sum to 11,644,416.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 37 × 1823
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,644,416
Proper Divisor Sum 7,597,356
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4047053 ← → #4047067

Radix Representation

Decimal 4047060
Binary 1111011100000011010100 (22 bits)
Octal 0o17340324
Hexadecimal 0x3DC0D4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1,110 1,823 2,220 3,646 5,469 7,292 9,115 10,938 18,230 21,876 27,345 36,460 54,690 67,451 109,380 134,902 202,353 269,804 337,255 404,706 674,510 809,412 1,011,765 1,349,020 2,023,530 4,047,060

Collatz Trajectory (185 steps to reach 1)

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

4,047,060 2,023,530 1,011,765 3,035,296 1,517,648 758,824 379,412 189,706 94,853 284,560 142,280 71,140 35,570 17,785 53,356 26,678 13,339 40,018 20,009 60,028 30,014 15,007 45,022 22,511 67,534 33,767 101,302 50,651 151,954 75,977 227,932 113,966 56,983 170,950 85,475 256,426 128,213 384,640 192,320 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283

More profiles

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