λ
Math Directory

859,891

859891
Deficient Odd Prime

859,891 factors as 859891. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 859891
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 859,892
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #859861 ← → #859913

Radix Representation

Decimal 859891
Binary 11010001111011110011 (20 bits)
Octal 0o3217363
Hexadecimal 0xD1EF3

Divisor Catalog (2)

1 859,891

Collatz Trajectory (188 steps to reach 1)

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

859,891 2,579,674 1,289,837 3,869,512 1,934,756 967,378 483,689 1,451,068 725,534 362,767 1,088,302 544,151 1,632,454 816,227 2,448,682 1,224,341 3,673,024 1,836,512 918,256 459,128 229,564 114,782 57,391 172,174 86,087 258,262 129,131 387,394 193,697 581,092 290,546 145,273 435,820 217,910 108,955 326,866 163,433 490,300 245,150 122,575 367,726 183,863 551,590 275,795 827,386 413,693 1,241,080 620,540 310,270 155,135 465,406 232,703 698,110 349,055 1,047,166 523,583 1,570,750 785,375 2,356,126 1,178,063

More profiles

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