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Atlas › Integer Profiles › Node 3,958,464

3,958,464

26 × 3 × 53 × 389
Abundant Even Composite

3,958,464 factors as 2^6 × 3 × 53 × 389. Its 56 positive divisors give a proper-divisor sum of 6,740,016, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 53 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 10,698,480
Proper Divisor Sum 6,740,016
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3958459 ← → #3958477

Radix Representation

Decimal 3958464
Binary 1111000110011011000000 (22 bits)
Octal 0o17063300
Hexadecimal 0x3C66C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 389 424 636 778 848 1,167 1,272 1,556 1,696 2,334 2,544 3,112 3,392 4,668 5,088 6,224 9,336 10,176 12,448 18,672 20,617 24,896 37,344 41,234 61,851 74,688 82,468 123,702 164,936 247,404 329,872 494,808 659,744 989,616 1,319,488 1,979,232 3,958,464

Collatz Trajectory (123 steps to reach 1)

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

3,958,464 1,979,232 989,616 494,808 247,404 123,702 61,851 185,554 92,777 278,332 139,166 69,583 208,750 104,375 313,126 156,563 469,690 234,845 704,536 352,268 176,134 88,067 264,202 132,101 396,304 198,152 99,076 49,538 24,769 74,308 37,154 18,577 55,732 27,866 13,933 41,800 20,900 10,450 5,225 15,676 7,838 3,919 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187

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