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Atlas › Integer Profiles › Node 4,018,732

4,018,732

22 × 17 × 113 × 523
Deficient Even Composite

4,018,732 factors as 2^2 × 17 × 113 × 523. Its 24 positive divisors give a proper-divisor sum of 3,508,004, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 113 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,526,736
Proper Divisor Sum 3,508,004
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4018717 ← → #4018739

Radix Representation

Decimal 4018732
Binary 1111010101001000101100 (22 bits)
Octal 0o17251054
Hexadecimal 0x3D522C

Divisor Catalog (24)

1 2 4 17 34 68 113 226 452 523 1,046 1,921 2,092 3,842 7,684 8,891 17,782 35,564 59,099 118,198 236,396 1,004,683 2,009,366 4,018,732

Collatz Trajectory (185 steps to reach 1)

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

4,018,732 2,009,366 1,004,683 3,014,050 1,507,025 4,521,076 2,260,538 1,130,269 3,390,808 1,695,404 847,702 423,851 1,271,554 635,777 1,907,332 953,666 476,833 1,430,500 715,250 357,625 1,072,876 536,438 268,219 804,658 402,329 1,206,988 603,494 301,747 905,242 452,621 1,357,864 678,932 339,466 169,733 509,200 254,600 127,300 63,650 31,825 95,476 47,738 23,869 71,608 35,804 17,902 8,951 26,854 13,427 40,282 20,141 60,424 30,212 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249

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