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Atlas › Integer Profiles › Node 4,032,900

4,032,900

22 × 32 × 52 × 4481
Abundant Even Composite

4,032,900 factors as 2^2 × 3^2 × 5^2 × 4481. Its 54 positive divisors give a proper-divisor sum of 8,610,822, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 4481
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 12,643,722
Proper Divisor Sum 8,610,822
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4032881 ← → #4032901

Radix Representation

Decimal 4032900
Binary 1111011000100110000100 (22 bits)
Octal 0o17304604
Hexadecimal 0x3D8984

Divisor Catalog (54)

1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4,481 8,962 13,443 17,924 22,405 26,886 40,329 44,810 53,772 67,215 80,658 89,620 112,025 134,430 161,316 201,645 224,050 268,860 336,075 403,290 448,100 672,150 806,580 1,008,225 1,344,300 2,016,450 4,032,900

Collatz Trajectory (229 steps to reach 1)

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

4,032,900 2,016,450 1,008,225 3,024,676 1,512,338 756,169 2,268,508 1,134,254 567,127 1,701,382 850,691 2,552,074 1,276,037 3,828,112 1,914,056 957,028 478,514 239,257 717,772 358,886 179,443 538,330 269,165 807,496 403,748 201,874 100,937 302,812 151,406 75,703 227,110 113,555 340,666 170,333 511,000 255,500 127,750 63,875 191,626 95,813 287,440 143,720 71,860 35,930 17,965 53,896 26,948 13,474 6,737 20,212 10,106 5,053 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265

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