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Atlas › Integer Profiles › Node 3,949,074

3,949,074

2 × 34 × 19 × 1283
Abundant Even Composite

3,949,074 factors as 2 × 3^4 × 19 × 1283. Its 40 positive divisors give a proper-divisor sum of 5,372,766, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 19 × 1283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,321,840
Proper Divisor Sum 5,372,766
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3949073 ← → #3949087

Radix Representation

Decimal 3949074
Binary 1111000100001000010010 (22 bits)
Octal 0o17041022
Hexadecimal 0x3C4212

Divisor Catalog (40)

1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1,026 1,283 1,539 2,566 3,078 3,849 7,698 11,547 23,094 24,377 34,641 48,754 69,282 73,131 103,923 146,262 207,846 219,393 438,786 658,179 1,316,358 1,974,537 3,949,074

Collatz Trajectory (141 steps to reach 1)

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

3,949,074 1,974,537 5,923,612 2,961,806 1,480,903 4,442,710 2,221,355 6,664,066 3,332,033 9,996,100 4,998,050 2,499,025 7,497,076 3,748,538 1,874,269 5,622,808 2,811,404 1,405,702 702,851 2,108,554 1,054,277 3,162,832 1,581,416 790,708 395,354 197,677 593,032 296,516 148,258 74,129 222,388 111,194 55,597 166,792 83,396 41,698 20,849 62,548 31,274 15,637 46,912 23,456 11,728 5,864 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700

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