λ
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Atlas › Integer Profiles › Node 3,915,950

3,915,950

2 × 52 × 172 × 271
Deficient Even Composite

3,915,950 factors as 2 × 5^2 × 17^2 × 271. Its 36 positive divisors give a proper-divisor sum of 3,849,922, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 17^2 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,765,872
Proper Divisor Sum 3,849,922
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3915941 ← → #3915953

Radix Representation

Decimal 3915950
Binary 1110111100000010101110 (22 bits)
Octal 0o16740256
Hexadecimal 0x3BC0AE

Divisor Catalog (36)

1 2 5 10 17 25 34 50 85 170 271 289 425 542 578 850 1,355 1,445 2,710 2,890 4,607 6,775 7,225 9,214 13,550 14,450 23,035 46,070 78,319 115,175 156,638 230,350 391,595 783,190 1,957,975 3,915,950

Collatz Trajectory (172 steps to reach 1)

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

3,915,950 1,957,975 5,873,926 2,936,963 8,810,890 4,405,445 13,216,336 6,608,168 3,304,084 1,652,042 826,021 2,478,064 1,239,032 619,516 309,758 154,879 464,638 232,319 696,958 348,479 1,045,438 522,719 1,568,158 784,079 2,352,238 1,176,119 3,528,358 1,764,179 5,292,538 2,646,269 7,938,808 3,969,404 1,984,702 992,351 2,977,054 1,488,527 4,465,582 2,232,791 6,698,374 3,349,187 10,047,562 5,023,781 15,071,344 7,535,672 3,767,836 1,883,918 941,959 2,825,878 1,412,939 4,238,818 2,119,409 6,358,228 3,179,114 1,589,557 4,768,672 2,384,336 1,192,168 596,084 298,042 149,021

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