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Atlas › Integer Profiles › Node 24,674,628

24,674,628

22 × 3 × 11 × 107 × 1747
Abundant Even Composite

24,674,628 factors as 2^2 × 3 × 11 × 107 × 1747. Its 48 positive divisors give a proper-divisor sum of 38,756,796, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 107 × 1747
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 63,431,424
Proper Divisor Sum 38,756,796
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #24674609 ← → #24674651

Radix Representation

Decimal 24674628
Binary 1011110001000000101000100 (25 bits)
Octal 0o136100504
Hexadecimal 0x1788144

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1,177 1,284 1,747 2,354 3,494 3,531 4,708 5,241 6,988 7,062 10,482 14,124 19,217 20,964 38,434 57,651 76,868 115,302 186,929 230,604 373,858 560,787 747,716 1,121,574 2,056,219 2,243,148 4,112,438 6,168,657 8,224,876 12,337,314 24,674,628

Collatz Trajectory (242 steps to reach 1)

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

24,674,628 12,337,314 6,168,657 18,505,972 9,252,986 4,626,493 13,879,480 6,939,740 3,469,870 1,734,935 5,204,806 2,602,403 7,807,210 3,903,605 11,710,816 5,855,408 2,927,704 1,463,852 731,926 365,963 1,097,890 548,945 1,646,836 823,418 411,709 1,235,128 617,564 308,782 154,391 463,174 231,587 694,762 347,381 1,042,144 521,072 260,536 130,268 65,134 32,567 97,702 48,851 146,554 73,277 219,832 109,916 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086

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