λ
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Atlas › Integer Profiles › Node 3,483,975

3,483,975

3 × 52 × 11 × 41 × 103
Deficient Odd Composite

3,483,975 factors as 3 × 5^2 × 11 × 41 × 103. Its 48 positive divisors give a proper-divisor sum of 3,015,609, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 41 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,499,584
Proper Divisor Sum 3,015,609
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3483959 ← → #3484001

Radix Representation

Decimal 3483975
Binary 1101010010100101000111 (22 bits)
Octal 0o15224507
Hexadecimal 0x352947

Divisor Catalog (48)

1 3 5 11 15 25 33 41 55 75 103 123 165 205 275 309 451 515 615 825 1,025 1,133 1,353 1,545 2,255 2,575 3,075 3,399 4,223 5,665 6,765 7,725 11,275 12,669 16,995 21,115 28,325 33,825 46,453 63,345 84,975 105,575 139,359 232,265 316,725 696,795 1,161,325 3,483,975

Collatz Trajectory (159 steps to reach 1)

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

3,483,975 10,451,926 5,225,963 15,677,890 7,838,945 23,516,836 11,758,418 5,879,209 17,637,628 8,818,814 4,409,407 13,228,222 6,614,111 19,842,334 9,921,167 29,763,502 14,881,751 44,645,254 22,322,627 66,967,882 33,483,941 100,451,824 50,225,912 25,112,956 12,556,478 6,278,239 18,834,718 9,417,359 28,252,078 14,126,039 42,378,118 21,189,059 63,567,178 31,783,589 95,350,768 47,675,384 23,837,692 11,918,846 5,959,423 17,878,270 8,939,135 26,817,406 13,408,703 40,226,110 20,113,055 60,339,166 30,169,583 90,508,750 45,254,375 135,763,126 67,881,563 203,644,690 101,822,345 305,467,036 152,733,518 76,366,759 229,100,278 114,550,139 343,650,418 171,825,209

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