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Atlas › Integer Profiles › Node 23,969,730

23,969,730

2 × 3 × 5 × 769 × 1039
Abundant Even Composite

23,969,730 factors as 2 × 3 × 5 × 769 × 1039. Its 32 positive divisors give a proper-divisor sum of 33,687,870, so this integer is abundant. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 769 × 1039
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 57,657,600
Proper Divisor Sum 33,687,870
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #23969723 ← → #23969731

Radix Representation

Decimal 23969730
Binary 1011011011011111111000010 (25 bits)
Octal 0o133337702
Hexadecimal 0x16DBFC2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 769 1,039 1,538 2,078 2,307 3,117 3,845 4,614 5,195 6,234 7,690 10,390 11,535 15,585 23,070 31,170 798,991 1,597,982 2,396,973 3,994,955 4,793,946 7,989,910 11,984,865 23,969,730

Collatz Trajectory (247 steps to reach 1)

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

23,969,730 11,984,865 35,954,596 17,977,298 8,988,649 26,965,948 13,482,974 6,741,487 20,224,462 10,112,231 30,336,694 15,168,347 45,505,042 22,752,521 68,257,564 34,128,782 17,064,391 51,193,174 25,596,587 76,789,762 38,394,881 115,184,644 57,592,322 28,796,161 86,388,484 43,194,242 21,597,121 64,791,364 32,395,682 16,197,841 48,593,524 24,296,762 12,148,381 36,445,144 18,222,572 9,111,286 4,555,643 13,666,930 6,833,465 20,500,396 10,250,198 5,125,099 15,375,298 7,687,649 23,062,948 11,531,474 5,765,737 17,297,212 8,648,606 4,324,303 12,972,910 6,486,455 19,459,366 9,729,683 29,189,050 14,594,525 43,783,576 21,891,788 10,945,894 5,472,947

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