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Atlas › Integer Profiles › Node 9,367,216

9,367,216

24 × 37 × 15823
Deficient Even Composite

9,367,216 factors as 2^4 × 37 × 15823. Its 20 positive divisors give a proper-divisor sum of 9,273,456, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^4 × 37 × 15823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,640,672
Proper Divisor Sum 9,273,456
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9367207 ← → #9367217

Radix Representation

Decimal 9367216
Binary 100011101110111010110000 (24 bits)
Octal 0o43567260
Hexadecimal 0x8EEEB0

Divisor Catalog (20)

1 2 4 8 16 37 74 148 296 592 15,823 31,646 63,292 126,584 253,168 585,451 1,170,902 2,341,804 4,683,608 9,367,216

Collatz Trajectory (101 steps to reach 1)

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

9,367,216 4,683,608 2,341,804 1,170,902 585,451 1,756,354 878,177 2,634,532 1,317,266 658,633 1,975,900 987,950 493,975 1,481,926 740,963 2,222,890 1,111,445 3,334,336 1,667,168 833,584 416,792 208,396 104,198 52,099 156,298 78,149 234,448 117,224 58,612 29,306 14,653 43,960 21,980 10,990 5,495 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654

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