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Atlas › Integer Profiles › Node 4,095,872

4,095,872

27 × 11 × 2909
Abundant Even Composite

4,095,872 factors as 2^7 × 11 × 2909. Its 32 positive divisors give a proper-divisor sum of 4,808,728, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^7 × 11 × 2909
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,904,600
Proper Divisor Sum 4,808,728
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4095857 ← → #4095881

Radix Representation

Decimal 4095872
Binary 1111100111111110000000 (22 bits)
Octal 0o17477600
Hexadecimal 0x3E7F80

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1,408 2,909 5,818 11,636 23,272 31,999 46,544 63,998 93,088 127,996 186,176 255,992 372,352 511,984 1,023,968 2,047,936 4,095,872

Collatz Trajectory (105 steps to reach 1)

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

4,095,872 2,047,936 1,023,968 511,984 255,992 127,996 63,998 31,999 95,998 47,999 143,998 71,999 215,998 107,999 323,998 161,999 485,998 242,999 728,998 364,499 1,093,498 546,749 1,640,248 820,124 410,062 205,031 615,094 307,547 922,642 461,321 1,383,964 691,982 345,991 1,037,974 518,987 1,556,962 778,481 2,335,444 1,167,722 583,861 1,751,584 875,792 437,896 218,948 109,474 54,737 164,212 82,106 41,053 123,160 61,580 30,790 15,395 46,186 23,093 69,280 34,640 17,320 8,660 4,330

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