8,467,938

2 × 3² × 17 × 27673

8,467,938 has the prime decomposition 2 × 3^2 × 17 × 27673. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 27673

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,427,148

Proper Divisor Sum 10,959,210

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8467903 ← → #8467951

Radix Representation

Decimal	8467938
Binary	100000010011010111100010 (24 bits)
Octal	0o40232742
Hexadecimal	0x8135E2

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 27,673 55,346 83,019 166,038 249,057 470,441 498,114 940,882 1,411,323 2,822,646 4,233,969 8,467,938

Collatz Trajectory (150 steps to reach 1)

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

8,467,938 4,233,969 12,701,908 6,350,954 3,175,477 9,526,432 4,763,216 2,381,608 1,190,804 595,402 297,701 893,104 446,552 223,276 111,638 55,819 167,458 83,729 251,188 125,594 62,797 188,392 94,196 47,098 23,549 70,648 35,324 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716

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