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Atlas › Integer Profiles › Node 3,915,748

3,915,748

22 × 19 × 67 × 769
Deficient Even Composite

3,915,748 factors as 2^2 × 19 × 67 × 769. Its 24 positive divisors give a proper-divisor sum of 3,414,652, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 67 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,330,400
Proper Divisor Sum 3,414,652
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3915739 ← → #3915761

Radix Representation

Decimal 3915748
Binary 1110111011111111100100 (22 bits)
Octal 0o16737744
Hexadecimal 0x3BBFE4

Divisor Catalog (24)

1 2 4 19 38 67 76 134 268 769 1,273 1,538 2,546 3,076 5,092 14,611 29,222 51,523 58,444 103,046 206,092 978,937 1,957,874 3,915,748

Collatz Trajectory (172 steps to reach 1)

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

3,915,748 1,957,874 978,937 2,936,812 1,468,406 734,203 2,202,610 1,101,305 3,303,916 1,651,958 825,979 2,477,938 1,238,969 3,716,908 1,858,454 929,227 2,787,682 1,393,841 4,181,524 2,090,762 1,045,381 3,136,144 1,568,072 784,036 392,018 196,009 588,028 294,014 147,007 441,022 220,511 661,534 330,767 992,302 496,151 1,488,454 744,227 2,232,682 1,116,341 3,349,024 1,674,512 837,256 418,628 209,314 104,657 313,972 156,986 78,493 235,480 117,740 58,870 29,435 88,306 44,153 132,460 66,230 33,115 99,346 49,673 149,020

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