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Atlas › Integer Profiles › Node 11,683,040

11,683,040

25 × 5 × 73019
Abundant Even Composite

11,683,040 factors as 2^5 × 5 × 73019. Its 24 positive divisors give a proper-divisor sum of 15,918,520, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 73019
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 27,601,560
Proper Divisor Sum 15,918,520
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #11683039 ← → #11683051

Radix Representation

Decimal 11683040
Binary 101100100100010011100000 (24 bits)
Octal 0o54442340
Hexadecimal 0xB244E0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 73,019 146,038 292,076 365,095 584,152 730,190 1,168,304 1,460,380 2,336,608 2,920,760 5,841,520 11,683,040

Collatz Trajectory (184 steps to reach 1)

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

11,683,040 5,841,520 2,920,760 1,460,380 730,190 365,095 1,095,286 547,643 1,642,930 821,465 2,464,396 1,232,198 616,099 1,848,298 924,149 2,772,448 1,386,224 693,112 346,556 173,278 86,639 259,918 129,959 389,878 194,939 584,818 292,409 877,228 438,614 219,307 657,922 328,961 986,884 493,442 246,721 740,164 370,082 185,041 555,124 277,562 138,781 416,344 208,172 104,086 52,043 156,130 78,065 234,196 117,098 58,549 175,648 87,824 43,912 21,956 10,978 5,489 16,468 8,234 4,117 12,352

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