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Atlas › Integer Profiles › Node 3,968,752

3,968,752

24 × 17 × 14591
Abundant Even Composite

3,968,752 factors as 2^4 × 17 × 14591. Its 20 positive divisors give a proper-divisor sum of 4,173,584, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 14591
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,142,336
Proper Divisor Sum 4,173,584
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3968743 ← → #3968761

Radix Representation

Decimal 3968752
Binary 1111001000111011110000 (22 bits)
Octal 0o17107360
Hexadecimal 0x3C8EF0

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 14,591 29,182 58,364 116,728 233,456 248,047 496,094 992,188 1,984,376 3,968,752

Collatz Trajectory (172 steps to reach 1)

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

3,968,752 1,984,376 992,188 496,094 248,047 744,142 372,071 1,116,214 558,107 1,674,322 837,161 2,511,484 1,255,742 627,871 1,883,614 941,807 2,825,422 1,412,711 4,238,134 2,119,067 6,357,202 3,178,601 9,535,804 4,767,902 2,383,951 7,151,854 3,575,927 10,727,782 5,363,891 16,091,674 8,045,837 24,137,512 12,068,756 6,034,378 3,017,189 9,051,568 4,525,784 2,262,892 1,131,446 565,723 1,697,170 848,585 2,545,756 1,272,878 636,439 1,909,318 954,659 2,863,978 1,431,989 4,295,968 2,147,984 1,073,992 536,996 268,498 134,249 402,748 201,374 100,687 302,062 151,031

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