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Atlas › Integer Profiles › Node 53,320,828

53,320,828

22 × 112 × 41 × 2687
Deficient Even Composite

53,320,828 factors as 2^2 × 11^2 × 41 × 2687. Its 36 positive divisors give a proper-divisor sum of 51,785,348, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 41 × 2687
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 105,106,176
Proper Divisor Sum 51,785,348
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #53320819 ← → #53320847

Radix Representation

Decimal 53320828
Binary 11001011011001110001111100 (26 bits)
Octal 0o313316174
Hexadecimal 0x32D9C7C

Divisor Catalog (36)

1 2 4 11 22 41 44 82 121 164 242 451 484 902 1,804 2,687 4,961 5,374 9,922 10,748 19,844 29,557 59,114 110,167 118,228 220,334 325,127 440,668 650,254 1,211,837 1,300,508 2,423,674 4,847,348 13,330,207 26,660,414 53,320,828

Collatz Trajectory (137 steps to reach 1)

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

53,320,828 26,660,414 13,330,207 39,990,622 19,995,311 59,985,934 29,992,967 89,978,902 44,989,451 134,968,354 67,484,177 202,452,532 101,226,266 50,613,133 151,839,400 75,919,700 37,959,850 18,979,925 56,939,776 28,469,888 14,234,944 7,117,472 3,558,736 1,779,368 889,684 444,842 222,421 667,264 333,632 166,816 83,408 41,704 20,852 10,426 5,213 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263

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