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Atlas › Integer Profiles › Node 33,558,136

33,558,136

23 × 17 × 443 × 557
Deficient Even Composite

33,558,136 factors as 2^3 × 17 × 443 × 557. Its 32 positive divisors give a proper-divisor sum of 33,334,904, so this integer is deficient. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 443 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 66,893,040
Proper Divisor Sum 33,334,904
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #33558101 ← → #33558137

Radix Representation

Decimal 33558136
Binary 10000000000000111001111000 (26 bits)
Octal 0o200007170
Hexadecimal 0x2000E78

Divisor Catalog (32)

1 2 4 8 17 34 68 136 443 557 886 1,114 1,772 2,228 3,544 4,456 7,531 9,469 15,062 18,938 30,124 37,876 60,248 75,752 246,751 493,502 987,004 1,974,008 4,194,767 8,389,534 16,779,068 33,558,136

Collatz Trajectory (276 steps to reach 1)

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

33,558,136 16,779,068 8,389,534 4,194,767 12,584,302 6,292,151 18,876,454 9,438,227 28,314,682 14,157,341 42,472,024 21,236,012 10,618,006 5,309,003 15,927,010 7,963,505 23,890,516 11,945,258 5,972,629 17,917,888 8,958,944 4,479,472 2,239,736 1,119,868 559,934 279,967 839,902 419,951 1,259,854 629,927 1,889,782 944,891 2,834,674 1,417,337 4,252,012 2,126,006 1,063,003 3,189,010 1,594,505 4,783,516 2,391,758 1,195,879 3,587,638 1,793,819 5,381,458 2,690,729 8,072,188 4,036,094 2,018,047 6,054,142 3,027,071 9,081,214 4,540,607 13,621,822 6,810,911 20,432,734 10,216,367 30,649,102 15,324,551 45,973,654

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