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Atlas › Integer Profiles › Node 3,759,975

3,759,975

32 × 52 × 17 × 983
Deficient Odd Composite

3,759,975 factors as 3^2 × 5^2 × 17 × 983. Its 36 positive divisors give a proper-divisor sum of 3,377,961, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 17 × 983
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,137,936
Proper Divisor Sum 3,377,961
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3759961 ← → #3759989

Radix Representation

Decimal 3759975
Binary 1110010101111101100111 (22 bits)
Octal 0o16257547
Hexadecimal 0x395F67

Divisor Catalog (36)

1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 983 1,275 2,949 3,825 4,915 8,847 14,745 16,711 24,575 44,235 50,133 73,725 83,555 150,399 221,175 250,665 417,775 751,995 1,253,325 3,759,975

Collatz Trajectory (141 steps to reach 1)

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

3,759,975 11,279,926 5,639,963 16,919,890 8,459,945 25,379,836 12,689,918 6,344,959 19,034,878 9,517,439 28,552,318 14,276,159 42,828,478 21,414,239 64,242,718 32,121,359 96,364,078 48,182,039 144,546,118 72,273,059 216,819,178 108,409,589 325,228,768 162,614,384 81,307,192 40,653,596 20,326,798 10,163,399 30,490,198 15,245,099 45,735,298 22,867,649 68,602,948 34,301,474 17,150,737 51,452,212 25,726,106 12,863,053 38,589,160 19,294,580 9,647,290 4,823,645 14,470,936 7,235,468 3,617,734 1,808,867 5,426,602 2,713,301 8,139,904 4,069,952 2,034,976 1,017,488 508,744 254,372 127,186 63,593 190,780 95,390 47,695 143,086

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