λ
Sequence Observatory

4,246,222

2 × 157 × 13523
Deficient Even Composite

Starting at 4,246,222, the Collatz iteration reaches 1 after 105 steps. The first transition is 2123111; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 157 × 13523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,410,376
Proper Divisor Sum 2,164,154
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4246217 ← → #4246241

Radix Representation

Decimal 4246222
Binary 10000001100101011001110 (23 bits)
Octal 0o20145316
Hexadecimal 0x40CACE

Divisor Catalog (8)

1 2 157 314 13,523 27,046 2,123,111 4,246,222

Collatz Trajectory (105 steps to reach 1)

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

4,246,222 2,123,111 6,369,334 3,184,667 9,554,002 4,777,001 14,331,004 7,165,502 3,582,751 10,748,254 5,374,127 16,122,382 8,061,191 24,183,574 12,091,787 36,275,362 18,137,681 54,413,044 27,206,522 13,603,261 40,809,784 20,404,892 10,202,446 5,101,223 15,303,670 7,651,835 22,955,506 11,477,753 34,433,260 17,216,630 8,608,315 25,824,946 12,912,473 38,737,420 19,368,710 9,684,355 29,053,066 14,526,533 43,579,600 21,789,800 10,894,900 5,447,450 2,723,725 8,171,176 4,085,588 2,042,794 1,021,397 3,064,192 1,532,096 766,048 383,024 191,512 95,756 47,878 23,939 71,818 35,909 107,728 53,864 26,932

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