λ
Sigma Notebook

9,112,096

25 × 7 × 19 × 2141
Abundant Even Composite

9,112,096 is even and not a perfect square. Its factorization is 2^5 × 7 × 19 × 2141 and its 48 divisors sum to 21,591,360.

Prime Factor Structure

Factorization String 2^5 × 7 × 19 × 2141
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,591,360
Proper Divisor Sum 12,479,264
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9112091 ← → #9112121

Radix Representation

Decimal 9112096
Binary 100010110000101000100000 (24 bits)
Octal 0o42605040
Hexadecimal 0x8B0A20

Divisor Catalog (48)

1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1,064 2,128 2,141 4,256 4,282 8,564 14,987 17,128 29,974 34,256 40,679 59,948 68,512 81,358 119,896 162,716 239,792 284,753 325,432 479,584 569,506 650,864 1,139,012 1,301,728 2,278,024 4,556,048 9,112,096

Collatz Trajectory (181 steps to reach 1)

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

9,112,096 4,556,048 2,278,024 1,139,012 569,506 284,753 854,260 427,130 213,565 640,696 320,348 160,174 80,087 240,262 120,131 360,394 180,197 540,592 270,296 135,148 67,574 33,787 101,362 50,681 152,044 76,022 38,011 114,034 57,017 171,052 85,526 42,763 128,290 64,145 192,436 96,218 48,109 144,328 72,164 36,082 18,041 54,124 27,062 13,531 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634

More profiles

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