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Atlas › Integer Profiles › Node 38,471,500

38,471,500

22 × 53 × 76943
Abundant Even Composite

38,471,500 factors as 2^2 × 5^3 × 76943. Its 24 positive divisors give a proper-divisor sum of 45,551,348, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 76943
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 84,022,848
Proper Divisor Sum 45,551,348
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #38471399 ← → #38471501

Radix Representation

Decimal 38471500
Binary 10010010110000011101001100 (26 bits)
Octal 0o222603514
Hexadecimal 0x24B074C

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 76,943 153,886 307,772 384,715 769,430 1,538,860 1,923,575 3,847,150 7,694,300 9,617,875 19,235,750 38,471,500

Collatz Trajectory (240 steps to reach 1)

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

38,471,500 19,235,750 9,617,875 28,853,626 14,426,813 43,280,440 21,640,220 10,820,110 5,410,055 16,230,166 8,115,083 24,345,250 12,172,625 36,517,876 18,258,938 9,129,469 27,388,408 13,694,204 6,847,102 3,423,551 10,270,654 5,135,327 15,405,982 7,702,991 23,108,974 11,554,487 34,663,462 17,331,731 51,995,194 25,997,597 77,992,792 38,996,396 19,498,198 9,749,099 29,247,298 14,623,649 43,870,948 21,935,474 10,967,737 32,903,212 16,451,606 8,225,803 24,677,410 12,338,705 37,016,116 18,508,058 9,254,029 27,762,088 13,881,044 6,940,522 3,470,261 10,410,784 5,205,392 2,602,696 1,301,348 650,674 325,337 976,012 488,006 244,003

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