λ
Sigma Notebook

8,509,938

2 × 3 × 67 × 21169
Abundant Even Composite

8,509,938 is even and not a perfect square. Its factorization is 2 × 3 × 67 × 21169 and its 16 divisors sum to 17,274,720.

Prime Factor Structure

Factorization String 2 × 3 × 67 × 21169
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,274,720
Proper Divisor Sum 8,764,782
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8509937 ← → #8509939

Radix Representation

Decimal 8509938
Binary 100000011101100111110010 (24 bits)
Octal 0o40354762
Hexadecimal 0x81D9F2

Divisor Catalog (16)

1 2 3 6 67 134 201 402 21,169 42,338 63,507 127,014 1,418,323 2,836,646 4,254,969 8,509,938

Collatz Trajectory (155 steps to reach 1)

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

8,509,938 4,254,969 12,764,908 6,382,454 3,191,227 9,573,682 4,786,841 14,360,524 7,180,262 3,590,131 10,770,394 5,385,197 16,155,592 8,077,796 4,038,898 2,019,449 6,058,348 3,029,174 1,514,587 4,543,762 2,271,881 6,815,644 3,407,822 1,703,911 5,111,734 2,555,867 7,667,602 3,833,801 11,501,404 5,750,702 2,875,351 8,626,054 4,313,027 12,939,082 6,469,541 19,408,624 9,704,312 4,852,156 2,426,078 1,213,039 3,639,118 1,819,559 5,458,678 2,729,339 8,188,018 4,094,009 12,282,028 6,141,014 3,070,507 9,211,522 4,605,761 13,817,284 6,908,642 3,454,321 10,362,964 5,181,482 2,590,741 7,772,224 3,886,112 1,943,056

More profiles

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