λ
Sequence Observatory

7,100,221

7100221
Deficient Odd Prime

Starting at 7,100,221, the Collatz iteration reaches 1 after 173 steps. The first transition is 21300664; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7100221
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,100,222
Proper Divisor Sum 1
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #7100183 ← → #7100227

Radix Representation

Decimal 7100221
Binary 11011000101011100111101 (23 bits)
Octal 0o33053475
Hexadecimal 0x6C573D

Divisor Catalog (2)

Collatz Trajectory (173 steps to reach 1)

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

7,100,221 21,300,664 10,650,332 5,325,166 2,662,583 7,987,750 3,993,875 11,981,626 5,990,813 17,972,440 8,986,220 4,493,110 2,246,555 6,739,666 3,369,833 10,109,500 5,054,750 2,527,375 7,582,126 3,791,063 11,373,190 5,686,595 17,059,786 8,529,893 25,589,680 12,794,840 6,397,420 3,198,710 1,599,355 4,798,066 2,399,033 7,197,100 3,598,550 1,799,275 5,397,826 2,698,913 8,096,740 4,048,370 2,024,185 6,072,556 3,036,278 1,518,139 4,554,418 2,277,209 6,831,628 3,415,814 1,707,907 5,123,722 2,561,861 7,685,584 3,842,792 1,921,396 960,698 480,349 1,441,048 720,524 360,262 180,131 540,394 270,197

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