λ
Sequence Observatory

6,100,222

2 × 79 × 38609
Deficient Even Composite

Starting at 6,100,222, the Collatz iteration reaches 1 after 227 steps. The first transition is 3050111; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 79 × 38609
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,266,400
Proper Divisor Sum 3,166,178
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #6100217 ← → #6100223

Radix Representation

Decimal 6100222
Binary 10111010001010011111110 (23 bits)
Octal 0o27212376
Hexadecimal 0x5D14FE

Divisor Catalog (8)

1 2 79 158 38,609 77,218 3,050,111 6,100,222

Collatz Trajectory (227 steps to reach 1)

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

6,100,222 3,050,111 9,150,334 4,575,167 13,725,502 6,862,751 20,588,254 10,294,127 30,882,382 15,441,191 46,323,574 23,161,787 69,485,362 34,742,681 104,228,044 52,114,022 26,057,011 78,171,034 39,085,517 117,256,552 58,628,276 29,314,138 14,657,069 43,971,208 21,985,604 10,992,802 5,496,401 16,489,204 8,244,602 4,122,301 12,366,904 6,183,452 3,091,726 1,545,863 4,637,590 2,318,795 6,956,386 3,478,193 10,434,580 5,217,290 2,608,645 7,825,936 3,912,968 1,956,484 978,242 489,121 1,467,364 733,682 366,841 1,100,524 550,262 275,131 825,394 412,697 1,238,092 619,046 309,523 928,570 464,285 1,392,856

More profiles

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