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Atlas › Integer Profiles › Node 20,007,324

20,007,324

22 × 34 × 61751
Abundant Even Composite

20,007,324 factors as 2^2 × 3^4 × 61751. Its 30 positive divisors give a proper-divisor sum of 32,296,620, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 61751
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 52,303,944
Proper Divisor Sum 32,296,620
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20007319 ← → #20007359

Radix Representation

Decimal 20007324
Binary 1001100010100100110011100 (25 bits)
Octal 0o114244634
Hexadecimal 0x131499C

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 61,751 123,502 185,253 247,004 370,506 555,759 741,012 1,111,518 1,667,277 2,223,036 3,334,554 5,001,831 6,669,108 10,003,662 20,007,324

Collatz Trajectory (177 steps to reach 1)

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

20,007,324 10,003,662 5,001,831 15,005,494 7,502,747 22,508,242 11,254,121 33,762,364 16,881,182 8,440,591 25,321,774 12,660,887 37,982,662 18,991,331 56,973,994 28,486,997 85,460,992 42,730,496 21,365,248 10,682,624 5,341,312 2,670,656 1,335,328 667,664 333,832 166,916 83,458 41,729 125,188 62,594 31,297 93,892 46,946 23,473 70,420 35,210 17,605 52,816 26,408 13,204 6,602 3,301 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589

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