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Atlas › Integer Profiles › Node 9,723,230

9,723,230

2 × 5 × 11 × 37 × 2389
Abundant Even Composite

9,723,230 factors as 2 × 5 × 11 × 37 × 2389. Its 32 positive divisors give a proper-divisor sum of 9,893,890, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 37 × 2389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,617,120
Proper Divisor Sum 9,893,890
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9723229 ← → #9723239

Radix Representation

Decimal 9723230
Binary 100101000101110101011110 (24 bits)
Octal 0o45056536
Hexadecimal 0x945D5E

Divisor Catalog (32)

1 2 5 10 11 22 37 55 74 110 185 370 407 814 2,035 2,389 4,070 4,778 11,945 23,890 26,279 52,558 88,393 131,395 176,786 262,790 441,965 883,930 972,323 1,944,646 4,861,615 9,723,230

Collatz Trajectory (207 steps to reach 1)

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

9,723,230 4,861,615 14,584,846 7,292,423 21,877,270 10,938,635 32,815,906 16,407,953 49,223,860 24,611,930 12,305,965 36,917,896 18,458,948 9,229,474 4,614,737 13,844,212 6,922,106 3,461,053 10,383,160 5,191,580 2,595,790 1,297,895 3,893,686 1,946,843 5,840,530 2,920,265 8,760,796 4,380,398 2,190,199 6,570,598 3,285,299 9,855,898 4,927,949 14,783,848 7,391,924 3,695,962 1,847,981 5,543,944 2,771,972 1,385,986 692,993 2,078,980 1,039,490 519,745 1,559,236 779,618 389,809 1,169,428 584,714 292,357 877,072 438,536 219,268 109,634 54,817 164,452 82,226 41,113 123,340 61,670

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