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Atlas › Integer Profiles › Node 60,006,771

60,006,771

33 × 11 × 29 × 6967
Deficient Odd Composite

60,006,771 factors as 3^3 × 11 × 29 × 6967. Its 32 positive divisors give a proper-divisor sum of 40,332,429, so this integer is deficient. The Collatz stopping time is 344 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 29 × 6967
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 100,339,200
Proper Divisor Sum 40,332,429
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #60006767 ← → #60006773

Radix Representation

Decimal 60006771
Binary 11100100111010000101110011 (26 bits)
Octal 0o344720563
Hexadecimal 0x393A173

Divisor Catalog (32)

1 3 9 11 27 29 33 87 99 261 297 319 783 957 2,871 6,967 8,613 20,901 62,703 76,637 188,109 202,043 229,911 606,129 689,733 1,818,387 2,069,199 2,222,473 5,455,161 6,667,419 20,002,257 60,006,771

Collatz Trajectory (344 steps to reach 1)

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

60,006,771 180,020,314 90,010,157 270,030,472 135,015,236 67,507,618 33,753,809 101,261,428 50,630,714 25,315,357 75,946,072 37,973,036 18,986,518 9,493,259 28,479,778 14,239,889 42,719,668 21,359,834 10,679,917 32,039,752 16,019,876 8,009,938 4,004,969 12,014,908 6,007,454 3,003,727 9,011,182 4,505,591 13,516,774 6,758,387 20,275,162 10,137,581 30,412,744 15,206,372 7,603,186 3,801,593 11,404,780 5,702,390 2,851,195 8,553,586 4,276,793 12,830,380 6,415,190 3,207,595 9,622,786 4,811,393 14,434,180 7,217,090 3,608,545 10,825,636 5,412,818 2,706,409 8,119,228 4,059,614 2,029,807 6,089,422 3,044,711 9,134,134 4,567,067 13,701,202

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