λ
Sigma Notebook

2,147,058

2 × 32 × 101 × 1181
Abundant Even Composite

2,147,058 is even and not a perfect square. Its factorization is 2 × 3^2 × 101 × 1181 and its 24 divisors sum to 4,701,996.

Prime Factor Structure

Factorization String 2 × 3^2 × 101 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,701,996
Proper Divisor Sum 2,554,938
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2147053 ← → #2147059

Radix Representation

Decimal 2147058
Binary 1000001100001011110010 (22 bits)
Octal 0o10141362
Hexadecimal 0x20C2F2

Divisor Catalog (24)

1 2 3 6 9 18 101 202 303 606 909 1,181 1,818 2,362 3,543 7,086 10,629 21,258 119,281 238,562 357,843 715,686 1,073,529 2,147,058

Collatz Trajectory (148 steps to reach 1)

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

2,147,058 1,073,529 3,220,588 1,610,294 805,147 2,415,442 1,207,721 3,623,164 1,811,582 905,791 2,717,374 1,358,687 4,076,062 2,038,031 6,114,094 3,057,047 9,171,142 4,585,571 13,756,714 6,878,357 20,635,072 10,317,536 5,158,768 2,579,384 1,289,692 644,846 322,423 967,270 483,635 1,450,906 725,453 2,176,360 1,088,180 544,090 272,045 816,136 408,068 204,034 102,017 306,052 153,026 76,513 229,540 114,770 57,385 172,156 86,078 43,039 129,118 64,559 193,678 96,839 290,518 145,259 435,778 217,889 653,668 326,834 163,417 490,252

More profiles

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