λ
Ratio Atlas

32,011,831

137 × 233663
Deficient Odd Composite

32,011,831 factors as 137 × 233663. Its 4 positive divisors give a proper-divisor sum of 233,801, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 137 × 233663
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 32,245,632
Proper Divisor Sum 233,801
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #32011817 ← → #32011877

Radix Representation

Decimal 32011831
Binary 1111010000111011000110111 (25 bits)
Octal 0o172073067
Hexadecimal 0x1E87637

Divisor Catalog (4)

Collatz Trajectory (118 steps to reach 1)

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

32,011,831 96,035,494 48,017,747 144,053,242 72,026,621 216,079,864 108,039,932 54,019,966 27,009,983 81,029,950 40,514,975 121,544,926 60,772,463 182,317,390 91,158,695 273,476,086 136,738,043 410,214,130 205,107,065 615,321,196 307,660,598 153,830,299 461,490,898 230,745,449 692,236,348 346,118,174 173,059,087 519,177,262 259,588,631 778,765,894 389,382,947 1,168,148,842 584,074,421 1,752,223,264 876,111,632 438,055,816 219,027,908 109,513,954 54,756,977 164,270,932 82,135,466 41,067,733 123,203,200 61,601,600 30,800,800 15,400,400 7,700,200 3,850,100 1,925,050 962,525 2,887,576 1,443,788 721,894 360,947 1,082,842 541,421 1,624,264 812,132 406,066 203,033

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