λ
Sequence Observatory

1,616,210

2 × 5 × 23 × 7027
Deficient Even Composite

Starting at 1,616,210, the Collatz iteration reaches 1 after 238 steps. The first transition is 808105; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 7027
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,036,096
Proper Divisor Sum 1,419,886
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1616201 ← → #1616221

Radix Representation

Decimal 1616210
Binary 110001010100101010010 (21 bits)
Octal 0o6124522
Hexadecimal 0x18A952

Divisor Catalog (16)

1 2 5 10 23 46 115 230 7,027 14,054 35,135 70,270 161,621 323,242 808,105 1,616,210

Collatz Trajectory (238 steps to reach 1)

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

1,616,210 808,105 2,424,316 1,212,158 606,079 1,818,238 909,119 2,727,358 1,363,679 4,091,038 2,045,519 6,136,558 3,068,279 9,204,838 4,602,419 13,807,258 6,903,629 20,710,888 10,355,444 5,177,722 2,588,861 7,766,584 3,883,292 1,941,646 970,823 2,912,470 1,456,235 4,368,706 2,184,353 6,553,060 3,276,530 1,638,265 4,914,796 2,457,398 1,228,699 3,686,098 1,843,049 5,529,148 2,764,574 1,382,287 4,146,862 2,073,431 6,220,294 3,110,147 9,330,442 4,665,221 13,995,664 6,997,832 3,498,916 1,749,458 874,729 2,624,188 1,312,094 656,047 1,968,142 984,071 2,952,214 1,476,107 4,428,322 2,214,161

More profiles

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