λ
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Atlas › Integer Profiles › Node 24,676,500

24,676,500

22 × 3 × 53 × 16451
Abundant Even Composite

24,676,500 factors as 2^2 × 3 × 5^3 × 16451. Its 48 positive divisors give a proper-divisor sum of 47,185,836, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^3 × 16451
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 71,862,336
Proper Divisor Sum 47,185,836
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #24676499 ← → #24676507

Radix Representation

Decimal 24676500
Binary 1011110001000100010010100 (25 bits)
Octal 0o136104224
Hexadecimal 0x1788894

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1,500 16,451 32,902 49,353 65,804 82,255 98,706 164,510 197,412 246,765 329,020 411,275 493,530 822,550 987,060 1,233,825 1,645,100 2,056,375 2,467,650 4,112,750 4,935,300 6,169,125 8,225,500 12,338,250 24,676,500

Collatz Trajectory (141 steps to reach 1)

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

24,676,500 12,338,250 6,169,125 18,507,376 9,253,688 4,626,844 2,313,422 1,156,711 3,470,134 1,735,067 5,205,202 2,602,601 7,807,804 3,903,902 1,951,951 5,855,854 2,927,927 8,783,782 4,391,891 13,175,674 6,587,837 19,763,512 9,881,756 4,940,878 2,470,439 7,411,318 3,705,659 11,116,978 5,558,489 16,675,468 8,337,734 4,168,867 12,506,602 6,253,301 18,759,904 9,379,952 4,689,976 2,344,988 1,172,494 586,247 1,758,742 879,371 2,638,114 1,319,057 3,957,172 1,978,586 989,293 2,967,880 1,483,940 741,970 370,985 1,112,956 556,478 278,239 834,718 417,359 1,252,078 626,039 1,878,118 939,059

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