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Atlas › Integer Profiles › Node 5,904,072

5,904,072

23 × 32 × 43 × 1907
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 43 × 1907
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,370,640
Proper Divisor Sum 10,466,568
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5904013 ← → #5904089

Radix Representation

Decimal 5904072
Binary 10110100001011011001000 (23 bits)
Octal 0o26413310
Hexadecimal 0x5A16C8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1,032 1,548 1,907 3,096 3,814 5,721 7,628 11,442 15,256 17,163 22,884 34,326 45,768 68,652 82,001 137,304 164,002 246,003 328,004 492,006 656,008 738,009 984,012 1,476,018 1,968,024 2,952,036 5,904,072

Collatz Trajectory (183 steps to reach 1)

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

5,904,072 2,952,036 1,476,018 738,009 2,214,028 1,107,014 553,507 1,660,522 830,261 2,490,784 1,245,392 622,696 311,348 155,674 77,837 233,512 116,756 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043

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