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Atlas › Integer Profiles › Node 3,957,016

3,957,016

23 × 7 × 19 × 3719
Abundant Even Composite

3,957,016 factors as 2^3 × 7 × 19 × 3719. Its 32 positive divisors give a proper-divisor sum of 4,970,984, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 3719
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,928,000
Proper Divisor Sum 4,970,984
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3957013 ← → #3957017

Radix Representation

Decimal 3957016
Binary 1111000110000100011000 (22 bits)
Octal 0o17060430
Hexadecimal 0x3C6118

Divisor Catalog (32)

1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1,064 3,719 7,438 14,876 26,033 29,752 52,066 70,661 104,132 141,322 208,264 282,644 494,627 565,288 989,254 1,978,508 3,957,016

Collatz Trajectory (198 steps to reach 1)

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

3,957,016 1,978,508 989,254 494,627 1,483,882 741,941 2,225,824 1,112,912 556,456 278,228 139,114 69,557 208,672 104,336 52,168 26,084 13,042 6,521 19,564 9,782 4,891 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658

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