λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,917,210

36,917,210

2 × 5 × 11 × 109 × 3079
Deficient Even Composite

36,917,210 factors as 2 × 5 × 11 × 109 × 3079. Its 32 positive divisors give a proper-divisor sum of 36,263,590, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 109 × 3079
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 73,180,800
Proper Divisor Sum 36,263,590
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #36917207 ← → #36917239

Radix Representation

Decimal 36917210
Binary 10001100110100111111011010 (26 bits)
Octal 0o214647732
Hexadecimal 0x2334FDA

Divisor Catalog (32)

1 2 5 10 11 22 55 109 110 218 545 1,090 1,199 2,398 3,079 5,995 6,158 11,990 15,395 30,790 33,869 67,738 169,345 335,611 338,690 671,222 1,678,055 3,356,110 3,691,721 7,383,442 18,458,605 36,917,210

Collatz Trajectory (196 steps to reach 1)

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

36,917,210 18,458,605 55,375,816 27,687,908 13,843,954 6,921,977 20,765,932 10,382,966 5,191,483 15,574,450 7,787,225 23,361,676 11,680,838 5,840,419 17,521,258 8,760,629 26,281,888 13,140,944 6,570,472 3,285,236 1,642,618 821,309 2,463,928 1,231,964 615,982 307,991 923,974 461,987 1,385,962 692,981 2,078,944 1,039,472 519,736 259,868 129,934 64,967 194,902 97,451 292,354 146,177 438,532 219,266 109,633 328,900 164,450 82,225 246,676 123,338 61,669 185,008 92,504 46,252 23,126 11,563 34,690 17,345 52,036 26,018 13,009 39,028

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,917,209 Browse Full Index Next Integer #36,917,211 →