λ
Ratio Atlas

53,330,231

131 × 157 × 2593
Deficient Odd Composite

53,330,231 factors as 131 × 157 × 2593. Its 8 positive divisors give a proper-divisor sum of 770,233, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 131 × 157 × 2593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 54,100,464
Proper Divisor Sum 770,233
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #53330219 ← → #53330273

Radix Representation

Decimal 53330231
Binary 11001011011100000100110111 (26 bits)
Octal 0o313340467
Hexadecimal 0x32DC137

Divisor Catalog (8)

Collatz Trajectory (194 steps to reach 1)

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

53,330,231 159,990,694 79,995,347 239,986,042 119,993,021 359,979,064 179,989,532 89,994,766 44,997,383 134,992,150 67,496,075 202,488,226 101,244,113 303,732,340 151,866,170 75,933,085 227,799,256 113,899,628 56,949,814 28,474,907 85,424,722 42,712,361 128,137,084 64,068,542 32,034,271 96,102,814 48,051,407 144,154,222 72,077,111 216,231,334 108,115,667 324,347,002 162,173,501 486,520,504 243,260,252 121,630,126 60,815,063 182,445,190 91,222,595 273,667,786 136,833,893 410,501,680 205,250,840 102,625,420 51,312,710 25,656,355 76,969,066 38,484,533 115,453,600 57,726,800 28,863,400 14,431,700 7,215,850 3,607,925 10,823,776 5,411,888 2,705,944 1,352,972 676,486 338,243

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