λ
Sequence Observatory

2,211,623

2211623
Deficient Odd Prime

Starting at 2,211,623, the Collatz iteration reaches 1 after 285 steps. The first transition is 6634870; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2211623
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,211,624
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2211617 ← → #2211647

Radix Representation

Decimal 2211623
Binary 1000011011111100100111 (22 bits)
Octal 0o10337447
Hexadecimal 0x21BF27

Divisor Catalog (2)

Collatz Trajectory (285 steps to reach 1)

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

2,211,623 6,634,870 3,317,435 9,952,306 4,976,153 14,928,460 7,464,230 3,732,115 11,196,346 5,598,173 16,794,520 8,397,260 4,198,630 2,099,315 6,297,946 3,148,973 9,446,920 4,723,460 2,361,730 1,180,865 3,542,596 1,771,298 885,649 2,656,948 1,328,474 664,237 1,992,712 996,356 498,178 249,089 747,268 373,634 186,817 560,452 280,226 140,113 420,340 210,170 105,085 315,256 157,628 78,814 39,407 118,222 59,111 177,334 88,667 266,002 133,001 399,004 199,502 99,751 299,254 149,627 448,882 224,441 673,324 336,662 168,331 504,994

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