λ
Sequence Observatory

2,217,023

2217023
Deficient Odd Prime

Starting at 2,217,023, the Collatz iteration reaches 1 after 179 steps. The first transition is 6651070; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2217023
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,217,024
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2217011 ← → #2217029

Radix Representation

Decimal 2217023
Binary 1000011101010000111111 (22 bits)
Octal 0o10352077
Hexadecimal 0x21D43F

Divisor Catalog (2)

Collatz Trajectory (179 steps to reach 1)

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

2,217,023 6,651,070 3,325,535 9,976,606 4,988,303 14,964,910 7,482,455 22,447,366 11,223,683 33,671,050 16,835,525 50,506,576 25,253,288 12,626,644 6,313,322 3,156,661 9,469,984 4,734,992 2,367,496 1,183,748 591,874 295,937 887,812 443,906 221,953 665,860 332,930 166,465 499,396 249,698 124,849 374,548 187,274 93,637 280,912 140,456 70,228 35,114 17,557 52,672 26,336 13,168 6,584 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

More profiles

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