λ
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Atlas › Integer Profiles › Node 4,533,732

4,533,732

22 × 34 × 7 × 1999
Abundant Even Composite

4,533,732 factors as 2^2 × 3^4 × 7 × 1999. Its 60 positive divisors give a proper-divisor sum of 9,018,268, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 7 × 1999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 13,552,000
Proper Divisor Sum 9,018,268
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4533701 ← → #4533733

Radix Representation

Decimal 4533732
Binary 10001010010110111100100 (23 bits)
Octal 0o21226744
Hexadecimal 0x452DE4

Divisor Catalog (60)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1,134 1,999 2,268 3,998 5,997 7,996 11,994 13,993 17,991 23,988 27,986 35,982 41,979 53,973 55,972 71,964 83,958 107,946 125,937 161,919 167,916 215,892 251,874 323,838 377,811 503,748 647,676 755,622 1,133,433 1,511,244 2,266,866 4,533,732

Collatz Trajectory (149 steps to reach 1)

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

4,533,732 2,266,866 1,133,433 3,400,300 1,700,150 850,075 2,550,226 1,275,113 3,825,340 1,912,670 956,335 2,869,006 1,434,503 4,303,510 2,151,755 6,455,266 3,227,633 9,682,900 4,841,450 2,420,725 7,262,176 3,631,088 1,815,544 907,772 453,886 226,943 680,830 340,415 1,021,246 510,623 1,531,870 765,935 2,297,806 1,148,903 3,446,710 1,723,355 5,170,066 2,585,033 7,755,100 3,877,550 1,938,775 5,816,326 2,908,163 8,724,490 4,362,245 13,086,736 6,543,368 3,271,684 1,635,842 817,921 2,453,764 1,226,882 613,441 1,840,324 920,162 460,081 1,380,244 690,122 345,061 1,035,184

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