λ
Ratio Atlas

22,010,249

22010249
Deficient Odd Prime

22,010,249 factors as 22010249. 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 22010249
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 22,010,250
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #22010239 ← → #22010273

Radix Representation

Decimal 22010249
Binary 1010011111101100110001001 (25 bits)
Octal 0o123754611
Hexadecimal 0x14FD989

Divisor Catalog (2)

Collatz Trajectory (172 steps to reach 1)

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

22,010,249 66,030,748 33,015,374 16,507,687 49,523,062 24,761,531 74,284,594 37,142,297 111,426,892 55,713,446 27,856,723 83,570,170 41,785,085 125,355,256 62,677,628 31,338,814 15,669,407 47,008,222 23,504,111 70,512,334 35,256,167 105,768,502 52,884,251 158,652,754 79,326,377 237,979,132 118,989,566 59,494,783 178,484,350 89,242,175 267,726,526 133,863,263 401,589,790 200,794,895 602,384,686 301,192,343 903,577,030 451,788,515 1,355,365,546 677,682,773 2,033,048,320 1,016,524,160 508,262,080 254,131,040 127,065,520 63,532,760 31,766,380 15,883,190 7,941,595 23,824,786 11,912,393 35,737,180 17,868,590 8,934,295 26,802,886 13,401,443 40,204,330 20,102,165 60,306,496 30,153,248

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