λ
Ratio Atlas

2,212,709

2212709
Deficient Odd Prime

2,212,709 factors as 2212709. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2212709
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,212,710
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2212699 ← → #2212723

Radix Representation

Decimal 2212709
Binary 1000011100001101100101 (22 bits)
Octal 0o10341545
Hexadecimal 0x21C365

Divisor Catalog (2)

1 2,212,709

Collatz Trajectory (179 steps to reach 1)

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

2,212,709 6,638,128 3,319,064 1,659,532 829,766 414,883 1,244,650 622,325 1,866,976 933,488 466,744 233,372 116,686 58,343 175,030 87,515 262,546 131,273 393,820 196,910 98,455 295,366 147,683 443,050 221,525 664,576 332,288 166,144 83,072 41,536 20,768 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348

More profiles

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