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Atlas › Integer Profiles › Node 24,782,838

24,782,838

2 × 3 × 17 × 229 × 1061
Abundant Even Composite

24,782,838 factors as 2 × 3 × 17 × 229 × 1061. Its 32 positive divisors give a proper-divisor sum of 27,977,322, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 229 × 1061
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 52,760,160
Proper Divisor Sum 27,977,322
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #24782837 ← → #24782861

Radix Representation

Decimal 24782838
Binary 1011110100010011111110110 (25 bits)
Octal 0o136423766
Hexadecimal 0x17A27F6

Divisor Catalog (32)

1 2 3 6 17 34 51 102 229 458 687 1,061 1,374 2,122 3,183 3,893 6,366 7,786 11,679 18,037 23,358 36,074 54,111 108,222 242,969 485,938 728,907 1,457,814 4,130,473 8,260,946 12,391,419 24,782,838

Collatz Trajectory (110 steps to reach 1)

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

24,782,838 12,391,419 37,174,258 18,587,129 55,761,388 27,880,694 13,940,347 41,821,042 20,910,521 62,731,564 31,365,782 15,682,891 47,048,674 23,524,337 70,573,012 35,286,506 17,643,253 52,929,760 26,464,880 13,232,440 6,616,220 3,308,110 1,654,055 4,962,166 2,481,083 7,443,250 3,721,625 11,164,876 5,582,438 2,791,219 8,373,658 4,186,829 12,560,488 6,280,244 3,140,122 1,570,061 4,710,184 2,355,092 1,177,546 588,773 1,766,320 883,160 441,580 220,790 110,395 331,186 165,593 496,780 248,390 124,195 372,586 186,293 558,880 279,440 139,720 69,860 34,930 17,465 52,396 26,198

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