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Atlas › Integer Profiles › Node 32,954,080

32,954,080

25 × 5 × 205963
Abundant Even Composite

32,954,080 factors as 2^5 × 5 × 205963. Its 24 positive divisors give a proper-divisor sum of 44,900,312, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 205963
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 77,854,392
Proper Divisor Sum 44,900,312
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #32954069 ← → #32954081

Radix Representation

Decimal 32954080
Binary 1111101101101011011100000 (25 bits)
Octal 0o175553340
Hexadecimal 0x1F6D6E0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 205,963 411,926 823,852 1,029,815 1,647,704 2,059,630 3,295,408 4,119,260 6,590,816 8,238,520 16,477,040 32,954,080

Collatz Trajectory (170 steps to reach 1)

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

32,954,080 16,477,040 8,238,520 4,119,260 2,059,630 1,029,815 3,089,446 1,544,723 4,634,170 2,317,085 6,951,256 3,475,628 1,737,814 868,907 2,606,722 1,303,361 3,910,084 1,955,042 977,521 2,932,564 1,466,282 733,141 2,199,424 1,099,712 549,856 274,928 137,464 68,732 34,366 17,183 51,550 25,775 77,326 38,663 115,990 57,995 173,986 86,993 260,980 130,490 65,245 195,736 97,868 48,934 24,467 73,402 36,701 110,104 55,052 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807

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