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Atlas › Integer Profiles › Node 9,094,480

9,094,480

24 × 5 × 79 × 1439
Abundant Even Composite

9,094,480 factors as 2^4 × 5 × 79 × 1439. Its 40 positive divisors give a proper-divisor sum of 12,332,720, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 79 × 1439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 21,427,200
Proper Divisor Sum 12,332,720
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9094469 ← → #9094493

Radix Representation

Decimal 9094480
Binary 100010101100010101010000 (24 bits)
Octal 0o42542520
Hexadecimal 0x8AC550

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1,264 1,439 1,580 2,878 3,160 5,756 6,320 7,195 11,512 14,390 23,024 28,780 57,560 113,681 115,120 227,362 454,724 568,405 909,448 1,136,810 1,818,896 2,273,620 4,547,240 9,094,480

Collatz Trajectory (194 steps to reach 1)

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

9,094,480 4,547,240 2,273,620 1,136,810 568,405 1,705,216 852,608 426,304 213,152 106,576 53,288 26,644 13,322 6,661 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820

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