λ
Sigma Notebook

9,290,108

22 × 37 × 41 × 1531
Deficient Even Composite

9,290,108 is even and not a perfect square. Its factorization is 2^2 × 37 × 41 × 1531 and its 24 divisors sum to 17,115,504.

Prime Factor Structure

Factorization String 2^2 × 37 × 41 × 1531
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,115,504
Proper Divisor Sum 7,825,396
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9290101 ← → #9290123

Radix Representation

Decimal 9290108
Binary 100011011100000101111100 (24 bits)
Octal 0o43340574
Hexadecimal 0x8DC17C

Divisor Catalog (24)

1 2 4 37 41 74 82 148 164 1,517 1,531 3,034 3,062 6,068 6,124 56,647 62,771 113,294 125,542 226,588 251,084 2,322,527 4,645,054 9,290,108

Collatz Trajectory (132 steps to reach 1)

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

9,290,108 4,645,054 2,322,527 6,967,582 3,483,791 10,451,374 5,225,687 15,677,062 7,838,531 23,515,594 11,757,797 35,273,392 17,636,696 8,818,348 4,409,174 2,204,587 6,613,762 3,306,881 9,920,644 4,960,322 2,480,161 7,440,484 3,720,242 1,860,121 5,580,364 2,790,182 1,395,091 4,185,274 2,092,637 6,277,912 3,138,956 1,569,478 784,739 2,354,218 1,177,109 3,531,328 1,765,664 882,832 441,416 220,708 110,354 55,177 165,532 82,766 41,383 124,150 62,075 186,226 93,113 279,340 139,670 69,835 209,506 104,753 314,260 157,130 78,565 235,696 117,848 58,924

More profiles

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