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Atlas › Integer Profiles › Node 9,268,600

9,268,600

23 × 52 × 112 × 383
Abundant Even Composite

9,268,600 factors as 2^3 × 5^2 × 11^2 × 383. Its 72 positive divisors give a proper-divisor sum of 14,479,880, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 11^2 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 23,748,480
Proper Divisor Sum 14,479,880
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9268577 ← → #9268627

Radix Representation

Decimal 9268600
Binary 100011010110110101111000 (24 bits)
Octal 0o43266570
Hexadecimal 0x8D6D78

Divisor Catalog (60 of 72)

1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 383 440 484 550 605 766 968 1,100 1,210 1,532 1,915 2,200 2,420 3,025 3,064 3,830 4,213 4,840 6,050 7,660 8,426 9,575 12,100 15,320 16,852 19,150 21,065 24,200 33,704 38,300 42,130 46,343 76,600 84,260 92,686 105,325 168,520 185,372

Collatz Trajectory (207 steps to reach 1)

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

9,268,600 4,634,300 2,317,150 1,158,575 3,475,726 1,737,863 5,213,590 2,606,795 7,820,386 3,910,193 11,730,580 5,865,290 2,932,645 8,797,936 4,398,968 2,199,484 1,099,742 549,871 1,649,614 824,807 2,474,422 1,237,211 3,711,634 1,855,817 5,567,452 2,783,726 1,391,863 4,175,590 2,087,795 6,263,386 3,131,693 9,395,080 4,697,540 2,348,770 1,174,385 3,523,156 1,761,578 880,789 2,642,368 1,321,184 660,592 330,296 165,148 82,574 41,287 123,862 61,931 185,794 92,897 278,692 139,346 69,673 209,020 104,510 52,255 156,766 78,383 235,150 117,575 352,726

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