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Atlas › Integer Profiles › Node 7,682,175

7,682,175

33 × 52 × 19 × 599
Deficient Odd Composite

7,682,175 factors as 3^3 × 5^2 × 19 × 599. Its 48 positive divisors give a proper-divisor sum of 7,197,825, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 19 × 599
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,880,000
Proper Divisor Sum 7,197,825
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7682173 ← → #7682189

Radix Representation

Decimal 7682175
Binary 11101010011100001111111 (23 bits)
Octal 0o35234177
Hexadecimal 0x75387F

Divisor Catalog (48)

1 3 5 9 15 19 25 27 45 57 75 95 135 171 225 285 475 513 599 675 855 1,425 1,797 2,565 2,995 4,275 5,391 8,985 11,381 12,825 14,975 16,173 26,955 34,143 44,925 56,905 80,865 102,429 134,775 170,715 284,525 307,287 404,325 512,145 853,575 1,536,435 2,560,725 7,682,175

Collatz Trajectory (98 steps to reach 1)

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

7,682,175 23,046,526 11,523,263 34,569,790 17,284,895 51,854,686 25,927,343 77,782,030 38,891,015 116,673,046 58,336,523 175,009,570 87,504,785 262,514,356 131,257,178 65,628,589 196,885,768 98,442,884 49,221,442 24,610,721 73,832,164 36,916,082 18,458,041 55,374,124 27,687,062 13,843,531 41,530,594 20,765,297 62,295,892 31,147,946 15,573,973 46,721,920 23,360,960 11,680,480 5,840,240 2,920,120 1,460,060 730,030 365,015 1,095,046 547,523 1,642,570 821,285 2,463,856 1,231,928 615,964 307,982 153,991 461,974 230,987 692,962 346,481 1,039,444 519,722 259,861 779,584 389,792 194,896 97,448 48,724

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