λ
Sequence Observatory

6,422,306

2 × 11 × 291923
Deficient Even Composite

Starting at 6,422,306, the Collatz iteration reaches 1 after 147 steps. The first transition is 3211153; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 291923
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,509,264
Proper Divisor Sum 4,086,958
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6422293 ← → #6422333

Radix Representation

Decimal 6422306
Binary 11000011111111100100010 (23 bits)
Octal 0o30377442
Hexadecimal 0x61FF22

Divisor Catalog (8)

1 2 11 22 291,923 583,846 3,211,153 6,422,306

Collatz Trajectory (147 steps to reach 1)

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

6,422,306 3,211,153 9,633,460 4,816,730 2,408,365 7,225,096 3,612,548 1,806,274 903,137 2,709,412 1,354,706 677,353 2,032,060 1,016,030 508,015 1,524,046 762,023 2,286,070 1,143,035 3,429,106 1,714,553 5,143,660 2,571,830 1,285,915 3,857,746 1,928,873 5,786,620 2,893,310 1,446,655 4,339,966 2,169,983 6,509,950 3,254,975 9,764,926 4,882,463 14,647,390 7,323,695 21,971,086 10,985,543 32,956,630 16,478,315 49,434,946 24,717,473 74,152,420 37,076,210 18,538,105 55,614,316 27,807,158 13,903,579 41,710,738 20,855,369 62,566,108 31,283,054 15,641,527 46,924,582 23,462,291 70,386,874 35,193,437 105,580,312 52,790,156

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