λ
Match Zalai

3,111,217

3111217
Deficient Odd Prime

3,111,217 factors as 3111217. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 3111217
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,111,218
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3111197 ← → #3111223

Radix Representation

Decimal 3111217
Binary 1011110111100100110001 (22 bits)
Octal 0o13674461
Hexadecimal 0x2F7931

Divisor Catalog (2)

Collatz Trajectory (76 steps to reach 1)

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

3,111,217 9,333,652 4,666,826 2,333,413 7,000,240 3,500,120 1,750,060 875,030 437,515 1,312,546 656,273 1,968,820 984,410 492,205 1,476,616 738,308 369,154 184,577 553,732 276,866 138,433 415,300 207,650 103,825 311,476 155,738 77,869 233,608 116,804 58,402 29,201 87,604 43,802 21,901 65,704 32,852 16,426 8,213 24,640 12,320 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92

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