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Atlas › Integer Profiles › Node 34,584,064

34,584,064

29 × 67547
Deficient Even Composite

34,584,064 factors as 2^9 × 67547. Its 20 positive divisors give a proper-divisor sum of 34,517,540, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^9 × 67547
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 69,101,604
Proper Divisor Sum 34,517,540
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #34584061 ← → #34584071

Radix Representation

Decimal 34584064
Binary 10000011111011011000000000 (26 bits)
Octal 0o203733000
Hexadecimal 0x20FB600

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 67,547 135,094 270,188 540,376 1,080,752 2,161,504 4,323,008 8,646,016 17,292,032 34,584,064

Collatz Trajectory (77 steps to reach 1)

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

34,584,064 17,292,032 8,646,016 4,323,008 2,161,504 1,080,752 540,376 270,188 135,094 67,547 202,642 101,321 303,964 151,982 75,991 227,974 113,987 341,962 170,981 512,944 256,472 128,236 64,118 32,059 96,178 48,089 144,268 72,134 36,067 108,202 54,101 162,304 81,152 40,576 20,288 10,144 5,072 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29

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