λ
Ratio Atlas

31,541,999

103 × 373 × 821
Deficient Odd Composite

31,541,999 factors as 103 × 373 × 821. Its 8 positive divisors give a proper-divisor sum of 430,513, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 103 × 373 × 821
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 31,972,512
Proper Divisor Sum 430,513
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #31541989 ← → #31542001

Radix Representation

Decimal 31541999
Binary 1111000010100101011101111 (25 bits)
Octal 0o170245357
Hexadecimal 0x1E14AEF

Divisor Catalog (8)

Collatz Trajectory (175 steps to reach 1)

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

31,541,999 94,625,998 47,312,999 141,938,998 70,969,499 212,908,498 106,454,249 319,362,748 159,681,374 79,840,687 239,522,062 119,761,031 359,283,094 179,641,547 538,924,642 269,462,321 808,386,964 404,193,482 202,096,741 606,290,224 303,145,112 151,572,556 75,786,278 37,893,139 113,679,418 56,839,709 170,519,128 85,259,564 42,629,782 21,314,891 63,944,674 31,972,337 95,917,012 47,958,506 23,979,253 71,937,760 35,968,880 17,984,440 8,992,220 4,496,110 2,248,055 6,744,166 3,372,083 10,116,250 5,058,125 15,174,376 7,587,188 3,793,594 1,896,797 5,690,392 2,845,196 1,422,598 711,299 2,133,898 1,066,949 3,200,848 1,600,424 800,212 400,106 200,053

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