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Atlas › Integer Profiles › Node 32,995,475

32,995,475

52 × 29 × 71 × 641
Deficient Odd Composite

32,995,475 factors as 5^2 × 29 × 71 × 641. Its 24 positive divisors give a proper-divisor sum of 9,992,845, so this integer is deficient. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 5^2 × 29 × 71 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 42,988,320
Proper Divisor Sum 9,992,845
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #32995433 ← → #32995477

Radix Representation

Decimal 32995475
Binary 1111101110111100010010011 (25 bits)
Octal 0o175674223
Hexadecimal 0x1F77893

Divisor Catalog (24)

1 5 25 29 71 145 355 641 725 1,775 2,059 3,205 10,295 16,025 18,589 45,511 51,475 92,945 227,555 464,725 1,137,775 1,319,819 6,599,095 32,995,475

Collatz Trajectory (232 steps to reach 1)

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

32,995,475 98,986,426 49,493,213 148,479,640 74,239,820 37,119,910 18,559,955 55,679,866 27,839,933 83,519,800 41,759,900 20,879,950 10,439,975 31,319,926 15,659,963 46,979,890 23,489,945 70,469,836 35,234,918 17,617,459 52,852,378 26,426,189 79,278,568 39,639,284 19,819,642 9,909,821 29,729,464 14,864,732 7,432,366 3,716,183 11,148,550 5,574,275 16,722,826 8,361,413 25,084,240 12,542,120 6,271,060 3,135,530 1,567,765 4,703,296 2,351,648 1,175,824 587,912 293,956 146,978 73,489 220,468 110,234 55,117 165,352 82,676 41,338 20,669 62,008 31,004 15,502 7,751 23,254 11,627 34,882

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