λ
Sequence Observatory

8,267,722

2 × 1087 × 3803
Deficient Even Composite

Starting at 8,267,722, the Collatz iteration reaches 1 after 199 steps. The first transition is 4133861; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1087 × 3803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,416,256
Proper Divisor Sum 4,148,534
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8267719 ← → #8267747

Radix Representation

Decimal 8267722
Binary 11111100010011111001010 (23 bits)
Octal 0o37423712
Hexadecimal 0x7E27CA

Divisor Catalog (8)

1 2 1,087 2,174 3,803 7,606 4,133,861 8,267,722

Collatz Trajectory (199 steps to reach 1)

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

8,267,722 4,133,861 12,401,584 6,200,792 3,100,396 1,550,198 775,099 2,325,298 1,162,649 3,487,948 1,743,974 871,987 2,615,962 1,307,981 3,923,944 1,961,972 980,986 490,493 1,471,480 735,740 367,870 183,935 551,806 275,903 827,710 413,855 1,241,566 620,783 1,862,350 931,175 2,793,526 1,396,763 4,190,290 2,095,145 6,285,436 3,142,718 1,571,359 4,714,078 2,357,039 7,071,118 3,535,559 10,606,678 5,303,339 15,910,018 7,955,009 23,865,028 11,932,514 5,966,257 17,898,772 8,949,386 4,474,693 13,424,080 6,712,040 3,356,020 1,678,010 839,005 2,517,016 1,258,508 629,254 314,627

More profiles

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