λ
Ratio Atlas
Atlas › Integer Profiles › Node 892,107

892,107

33 × 19 × 37 × 47
Deficient Odd Composite

892,107 factors as 3^3 × 19 × 37 × 47. Its 32 positive divisors give a proper-divisor sum of 567,093, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3^3 × 19 × 37 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,459,200
Proper Divisor Sum 567,093
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #892103 ← → #892123

Radix Representation

Decimal 892107
Binary 11011001110011001011 (20 bits)
Octal 0o3316313
Hexadecimal 0xD9CCB

Divisor Catalog (32)

1 3 9 19 27 37 47 57 111 141 171 333 423 513 703 893 999 1,269 1,739 2,109 2,679 5,217 6,327 8,037 15,651 18,981 24,111 33,041 46,953 99,123 297,369 892,107

Collatz Trajectory (188 steps to reach 1)

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

892,107 2,676,322 1,338,161 4,014,484 2,007,242 1,003,621 3,010,864 1,505,432 752,716 376,358 188,179 564,538 282,269 846,808 423,404 211,702 105,851 317,554 158,777 476,332 238,166 119,083 357,250 178,625 535,876 267,938 133,969 401,908 200,954 100,477 301,432 150,716 75,358 37,679 113,038 56,519 169,558 84,779 254,338 127,169 381,508 190,754 95,377 286,132 143,066 71,533 214,600 107,300 53,650 26,825 80,476 40,238 20,119 60,358 30,179 90,538 45,269 135,808 67,904 33,952

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #892,106 Browse Full Index Next Integer #892,108 →