λ
Ratio Atlas

2,212,053

3 × 737351
Deficient Odd Composite

2,212,053 factors as 3 × 737351. Its 4 positive divisors give a proper-divisor sum of 737,355, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3 × 737351
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,949,408
Proper Divisor Sum 737,355
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2212051 ← → #2212069

Radix Representation

Decimal 2212053
Binary 1000011100000011010101 (22 bits)
Octal 0o10340325
Hexadecimal 0x21C0D5

Divisor Catalog (4)

1 3 737,351 2,212,053

Collatz Trajectory (179 steps to reach 1)

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

2,212,053 6,636,160 3,318,080 1,659,040 829,520 414,760 207,380 103,690 51,845 155,536 77,768 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 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

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