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Atlas › Integer Profiles › Node 24,679,890

24,679,890

2 × 34 × 5 × 30469
Abundant Even Composite

24,679,890 factors as 2 × 3^4 × 5 × 30469. Its 40 positive divisors give a proper-divisor sum of 41,683,770, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 30469
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 66,363,660
Proper Divisor Sum 41,683,770
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #24679859 ← → #24679891

Radix Representation

Decimal 24679890
Binary 1011110001001010111010010 (25 bits)
Octal 0o136112722
Hexadecimal 0x17895D2

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 30,469 60,938 91,407 152,345 182,814 274,221 304,690 457,035 548,442 822,663 914,070 1,371,105 1,645,326 2,467,989 2,742,210 4,113,315 4,935,978 8,226,630 12,339,945 24,679,890

Collatz Trajectory (242 steps to reach 1)

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

24,679,890 12,339,945 37,019,836 18,509,918 9,254,959 27,764,878 13,882,439 41,647,318 20,823,659 62,470,978 31,235,489 93,706,468 46,853,234 23,426,617 70,279,852 35,139,926 17,569,963 52,709,890 26,354,945 79,064,836 39,532,418 19,766,209 59,298,628 29,649,314 14,824,657 44,473,972 22,236,986 11,118,493 33,355,480 16,677,740 8,338,870 4,169,435 12,508,306 6,254,153 18,762,460 9,381,230 4,690,615 14,071,846 7,035,923 21,107,770 10,553,885 31,661,656 15,830,828 7,915,414 3,957,707 11,873,122 5,936,561 17,809,684 8,904,842 4,452,421 13,357,264 6,678,632 3,339,316 1,669,658 834,829 2,504,488 1,252,244 626,122 313,061 939,184

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