λ
Ratio Atlas

22,014,191

22014191
Deficient Odd Prime

22,014,191 factors as 22014191. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 22014191
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 22,014,192
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #22014131 ← → #22014193

Radix Representation

Decimal 22014191
Binary 1010011111110100011101111 (25 bits)
Octal 0o123764357
Hexadecimal 0x14FE8EF

Divisor Catalog (2)

Collatz Trajectory (172 steps to reach 1)

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

22,014,191 66,042,574 33,021,287 99,063,862 49,531,931 148,595,794 74,297,897 222,893,692 111,446,846 55,723,423 167,170,270 83,585,135 250,755,406 125,377,703 376,133,110 188,066,555 564,199,666 282,099,833 846,299,500 423,149,750 211,574,875 634,724,626 317,362,313 952,086,940 476,043,470 238,021,735 714,065,206 357,032,603 1,071,097,810 535,548,905 1,606,646,716 803,323,358 401,661,679 1,204,985,038 602,492,519 1,807,477,558 903,738,779 2,711,216,338 1,355,608,169 4,066,824,508 2,033,412,254 1,016,706,127 3,050,118,382 1,525,059,191 4,575,177,574 2,287,588,787 6,862,766,362 3,431,383,181 10,294,149,544 5,147,074,772 2,573,537,386 1,286,768,693 3,860,306,080 1,930,153,040 965,076,520 482,538,260 241,269,130 120,634,565 361,903,696 180,951,848

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