λ
Sigma Notebook

4,137,860

22 × 5 × 313 × 661
Abundant Even Composite

4,137,860 is even and not a perfect square. Its factorization is 2^2 × 5 × 313 × 661 and its 24 divisors sum to 8,730,456.

Prime Factor Structure

Factorization String 2^2 × 5 × 313 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,730,456
Proper Divisor Sum 4,592,596
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4137857 ← → #4137863

Radix Representation

Decimal 4137860
Binary 1111110010001110000100 (22 bits)
Octal 0o17621604
Hexadecimal 0x3F2384

Divisor Catalog (24)

1 2 4 5 10 20 313 626 661 1,252 1,322 1,565 2,644 3,130 3,305 6,260 6,610 13,220 206,893 413,786 827,572 1,034,465 2,068,930 4,137,860

Collatz Trajectory (136 steps to reach 1)

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

4,137,860 2,068,930 1,034,465 3,103,396 1,551,698 775,849 2,327,548 1,163,774 581,887 1,745,662 872,831 2,618,494 1,309,247 3,927,742 1,963,871 5,891,614 2,945,807 8,837,422 4,418,711 13,256,134 6,628,067 19,884,202 9,942,101 29,826,304 14,913,152 7,456,576 3,728,288 1,864,144 932,072 466,036 233,018 116,509 349,528 174,764 87,382 43,691 131,074 65,537 196,612 98,306 49,153 147,460 73,730 36,865 110,596 55,298 27,649 82,948 41,474 20,737 62,212 31,106 15,553 46,660 23,330 11,665 34,996 17,498 8,749 26,248

More profiles

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