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Atlas › Integer Profiles › Node 20,032,875

20,032,875

32 × 53 × 17807
Deficient Odd Composite

20,032,875 factors as 3^2 × 5^3 × 17807. Its 24 positive divisors give a proper-divisor sum of 16,081,749, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 17807
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 36,114,624
Proper Divisor Sum 16,081,749
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20032867 ← → #20032877

Radix Representation

Decimal 20032875
Binary 1001100011010110101101011 (25 bits)
Octal 0o114326553
Hexadecimal 0x131AD6B

Divisor Catalog (24)

1 3 5 9 15 25 45 75 125 225 375 1,125 17,807 53,421 89,035 160,263 267,105 445,175 801,315 1,335,525 2,225,875 4,006,575 6,677,625 20,032,875

Collatz Trajectory (164 steps to reach 1)

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

20,032,875 60,098,626 30,049,313 90,147,940 45,073,970 22,536,985 67,610,956 33,805,478 16,902,739 50,708,218 25,354,109 76,062,328 38,031,164 19,015,582 9,507,791 28,523,374 14,261,687 42,785,062 21,392,531 64,177,594 32,088,797 96,266,392 48,133,196 24,066,598 12,033,299 36,099,898 18,049,949 54,149,848 27,074,924 13,537,462 6,768,731 20,306,194 10,153,097 30,459,292 15,229,646 7,614,823 22,844,470 11,422,235 34,266,706 17,133,353 51,400,060 25,700,030 12,850,015 38,550,046 19,275,023 57,825,070 28,912,535 86,737,606 43,368,803 130,106,410 65,053,205 195,159,616 97,579,808 48,789,904 24,394,952 12,197,476 6,098,738 3,049,369 9,148,108 4,574,054

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