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Atlas › Integer Profiles › Node 4,035,152

4,035,152

24 × 11 × 101 × 227
Abundant Even Composite

4,035,152 factors as 2^4 × 11 × 101 × 227. Its 40 positive divisors give a proper-divisor sum of 4,616,080, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 101 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,651,232
Proper Divisor Sum 4,616,080
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4035149 ← → #4035191

Radix Representation

Decimal 4035152
Binary 1111011001001001010000 (22 bits)
Octal 0o17311120
Hexadecimal 0x3D9250

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 101 176 202 227 404 454 808 908 1,111 1,616 1,816 2,222 2,497 3,632 4,444 4,994 8,888 9,988 17,776 19,976 22,927 39,952 45,854 91,708 183,416 252,197 366,832 504,394 1,008,788 2,017,576 4,035,152

Collatz Trajectory (92 steps to reach 1)

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

4,035,152 2,017,576 1,008,788 504,394 252,197 756,592 378,296 189,148 94,574 47,287 141,862 70,931 212,794 106,397 319,192 159,596 79,798 39,899 119,698 59,849 179,548 89,774 44,887 134,662 67,331 201,994 100,997 302,992 151,496 75,748 37,874 18,937 56,812 28,406 14,203 42,610 21,305 63,916 31,958 15,979 47,938 23,969 71,908 35,954 17,977 53,932 26,966 13,483 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600

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