λ
Sigma Notebook

8,688,292

22 × 17 × 67 × 1907
Deficient Even Composite

8,688,292 is even and not a perfect square. Its factorization is 2^2 × 17 × 67 × 1907 and its 24 divisors sum to 16,347,744.

Prime Factor Structure

Factorization String 2^2 × 17 × 67 × 1907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,347,744
Proper Divisor Sum 7,659,452
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8688287 ← → #8688299

Radix Representation

Decimal 8688292
Binary 100001001001001010100100 (24 bits)
Octal 0o41111244
Hexadecimal 0x8492A4

Divisor Catalog (24)

1 2 4 17 34 67 68 134 268 1,139 1,907 2,278 3,814 4,556 7,628 32,419 64,838 127,769 129,676 255,538 511,076 2,172,073 4,344,146 8,688,292

Collatz Trajectory (119 steps to reach 1)

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

8,688,292 4,344,146 2,172,073 6,516,220 3,258,110 1,629,055 4,887,166 2,443,583 7,330,750 3,665,375 10,996,126 5,498,063 16,494,190 8,247,095 24,741,286 12,370,643 37,111,930 18,555,965 55,667,896 27,833,948 13,916,974 6,958,487 20,875,462 10,437,731 31,313,194 15,656,597 46,969,792 23,484,896 11,742,448 5,871,224 2,935,612 1,467,806 733,903 2,201,710 1,100,855 3,302,566 1,651,283 4,953,850 2,476,925 7,430,776 3,715,388 1,857,694 928,847 2,786,542 1,393,271 4,179,814 2,089,907 6,269,722 3,134,861 9,404,584 4,702,292 2,351,146 1,175,573 3,526,720 1,763,360 881,680 440,840 220,420 110,210 55,105

More profiles

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