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Atlas › Integer Profiles › Node 20,008,028

20,008,028

22 × 29 × 137 × 1259
Deficient Even Composite

20,008,028 factors as 2^2 × 29 × 137 × 1259. Its 24 positive divisors give a proper-divisor sum of 16,506,772, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 137 × 1259
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 36,514,800
Proper Divisor Sum 16,506,772
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #20008019 ← → #20008039

Radix Representation

Decimal 20008028
Binary 1001100010100110001011100 (25 bits)
Octal 0o114246134
Hexadecimal 0x1314C5C

Divisor Catalog (24)

1 2 4 29 58 116 137 274 548 1,259 2,518 3,973 5,036 7,946 15,892 36,511 73,022 146,044 172,483 344,966 689,932 5,002,007 10,004,014 20,008,028

Collatz Trajectory (177 steps to reach 1)

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

20,008,028 10,004,014 5,002,007 15,006,022 7,503,011 22,509,034 11,254,517 33,763,552 16,881,776 8,440,888 4,220,444 2,110,222 1,055,111 3,165,334 1,582,667 4,748,002 2,374,001 7,122,004 3,561,002 1,780,501 5,341,504 2,670,752 1,335,376 667,688 333,844 166,922 83,461 250,384 125,192 62,596 31,298 15,649 46,948 23,474 11,737 35,212 17,606 8,803 26,410 13,205 39,616 19,808 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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