λ
Sigma Notebook

212,114

2 × 7 × 109 × 139
Deficient Even Composite

212,114 is even and not a perfect square. Its factorization is 2 × 7 × 109 × 139 and its 16 divisors sum to 369,600.

Prime Factor Structure

Factorization String 2 × 7 × 109 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 369,600
Proper Divisor Sum 157,486
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #212099 ← → #212117

Radix Representation

Decimal 212114
Binary 110011110010010010 (18 bits)
Octal 0o636222
Hexadecimal 0x33C92

Divisor Catalog (16)

1 2 7 14 109 139 218 278 763 973 1,526 1,946 15,151 30,302 106,057 212,114

Collatz Trajectory (80 steps to reach 1)

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

212,114 106,057 318,172 159,086 79,543 238,630 119,315 357,946 178,973 536,920 268,460 134,230 67,115 201,346 100,673 302,020 151,010 75,505 226,516 113,258 56,629 169,888 84,944 42,472 21,236 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38

More profiles

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