λ
Sigma Notebook

2,372,772

22 × 3 × 23 × 8597
Abundant Even Composite

2,372,772 is even and not a perfect square. Its factorization is 2^2 × 3 × 23 × 8597 and its 24 divisors sum to 5,777,856.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 8597
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,777,856
Proper Divisor Sum 3,405,084
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2372761 ← → #2372779

Radix Representation

Decimal 2372772
Binary 1001000011010010100100 (22 bits)
Octal 0o11032244
Hexadecimal 0x2434A4

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 8,597 17,194 25,791 34,388 51,582 103,164 197,731 395,462 593,193 790,924 1,186,386 2,372,772

Collatz Trajectory (148 steps to reach 1)

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

2,372,772 1,186,386 593,193 1,779,580 889,790 444,895 1,334,686 667,343 2,002,030 1,001,015 3,003,046 1,501,523 4,504,570 2,252,285 6,756,856 3,378,428 1,689,214 844,607 2,533,822 1,266,911 3,800,734 1,900,367 5,701,102 2,850,551 8,551,654 4,275,827 12,827,482 6,413,741 19,241,224 9,620,612 4,810,306 2,405,153 7,215,460 3,607,730 1,803,865 5,411,596 2,705,798 1,352,899 4,058,698 2,029,349 6,088,048 3,044,024 1,522,012 761,006 380,503 1,141,510 570,755 1,712,266 856,133 2,568,400 1,284,200 642,100 321,050 160,525 481,576 240,788 120,394 60,197 180,592 90,296

More profiles

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