λ
Ratio Atlas

31,631,903

192 × 87623
Deficient Odd Composite

31,631,903 factors as 19^2 × 87623. Its 6 positive divisors give a proper-divisor sum of 1,752,841, so this integer is deficient. The Collatz stopping time is 325 steps.

Prime Factor Structure

Factorization String 19^2 × 87623
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 33,384,744
Proper Divisor Sum 1,752,841
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #31631879 ← → #31631911

Radix Representation

Decimal 31631903
Binary 1111000101010101000011111 (25 bits)
Octal 0o170525037
Hexadecimal 0x1E2AA1F

Divisor Catalog (6)

Collatz Trajectory (325 steps to reach 1)

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

31,631,903 94,895,710 47,447,855 142,343,566 71,171,783 213,515,350 106,757,675 320,273,026 160,136,513 480,409,540 240,204,770 120,102,385 360,307,156 180,153,578 90,076,789 270,230,368 135,115,184 67,557,592 33,778,796 16,889,398 8,444,699 25,334,098 12,667,049 38,001,148 19,000,574 9,500,287 28,500,862 14,250,431 42,751,294 21,375,647 64,126,942 32,063,471 96,190,414 48,095,207 144,285,622 72,142,811 216,428,434 108,214,217 324,642,652 162,321,326 81,160,663 243,481,990 121,740,995 365,222,986 182,611,493 547,834,480 273,917,240 136,958,620 68,479,310 34,239,655 102,718,966 51,359,483 154,078,450 77,039,225 231,117,676 115,558,838 57,779,419 173,338,258 86,669,129 260,007,388

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