8,622,108

2² × 3² × 11 × 21773

8,622,108 has the prime decomposition 2^2 × 3^2 × 11 × 21773. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 21773

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 23,777,208

Proper Divisor Sum 15,155,100

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8622071 ← → #8622113

Radix Representation

Decimal	8622108
Binary	100000111001000000011100 (24 bits)
Octal	0o40710034
Hexadecimal	0x83901C

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 21,773 43,546 65,319 87,092 130,638 195,957 239,503 261,276 391,914 479,006 718,509 783,828 958,012 1,437,018 2,155,527 2,874,036 4,311,054 8,622,108

Collatz Trajectory (168 steps to reach 1)

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

8,622,108 4,311,054 2,155,527 6,466,582 3,233,291 9,699,874 4,849,937 14,549,812 7,274,906 3,637,453 10,912,360 5,456,180 2,728,090 1,364,045 4,092,136 2,046,068 1,023,034 511,517 1,534,552 767,276 383,638 191,819 575,458 287,729 863,188 431,594 215,797 647,392 323,696 161,848 80,924 40,462 20,231 60,694 30,347 91,042 45,521 136,564 68,282 34,141 102,424 51,212 25,606 12,803 38,410 19,205 57,616 28,808 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520

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