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Atlas › Integer Profiles › Node 36,046,992

36,046,992

24 × 3 × 503 × 1493
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 503 × 1493
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 93,369,024
Proper Divisor Sum 57,322,032
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36046981 ← → #36046993

Radix Representation

Decimal 36046992
Binary 10001001100000100010010000 (26 bits)
Octal 0o211404220
Hexadecimal 0x2260890

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 503 1,006 1,493 1,509 2,012 2,986 3,018 4,024 4,479 5,972 6,036 8,048 8,958 11,944 12,072 17,916 23,888 24,144 35,832 71,664 750,979 1,501,958 2,252,937 3,003,916 4,505,874 6,007,832 9,011,748 12,015,664 18,023,496 36,046,992

Collatz Trajectory (258 steps to reach 1)

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

36,046,992 18,023,496 9,011,748 4,505,874 2,252,937 6,758,812 3,379,406 1,689,703 5,069,110 2,534,555 7,603,666 3,801,833 11,405,500 5,702,750 2,851,375 8,554,126 4,277,063 12,831,190 6,415,595 19,246,786 9,623,393 28,870,180 14,435,090 7,217,545 21,652,636 10,826,318 5,413,159 16,239,478 8,119,739 24,359,218 12,179,609 36,538,828 18,269,414 9,134,707 27,404,122 13,702,061 41,106,184 20,553,092 10,276,546 5,138,273 15,414,820 7,707,410 3,853,705 11,561,116 5,780,558 2,890,279 8,670,838 4,335,419 13,006,258 6,503,129 19,509,388 9,754,694 4,877,347 14,632,042 7,316,021 21,948,064 10,974,032 5,487,016 2,743,508 1,371,754

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