λ
Sequence Observatory

6,642,622

2 × 7 × 617 × 769
Deficient Even Composite

Starting at 6,642,622, the Collatz iteration reaches 1 after 165 steps. The first transition is 3321311; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 617 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,420,640
Proper Divisor Sum 4,778,018
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6642619 ← → #6642637

Radix Representation

Decimal 6642622
Binary 11001010101101110111110 (23 bits)
Octal 0o31255676
Hexadecimal 0x655BBE

Divisor Catalog (16)

1 2 7 14 617 769 1,234 1,538 4,319 5,383 8,638 10,766 474,473 948,946 3,321,311 6,642,622

Collatz Trajectory (165 steps to reach 1)

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

6,642,622 3,321,311 9,963,934 4,981,967 14,945,902 7,472,951 22,418,854 11,209,427 33,628,282 16,814,141 50,442,424 25,221,212 12,610,606 6,305,303 18,915,910 9,457,955 28,373,866 14,186,933 42,560,800 21,280,400 10,640,200 5,320,100 2,660,050 1,330,025 3,990,076 1,995,038 997,519 2,992,558 1,496,279 4,488,838 2,244,419 6,733,258 3,366,629 10,099,888 5,049,944 2,524,972 1,262,486 631,243 1,893,730 946,865 2,840,596 1,420,298 710,149 2,130,448 1,065,224 532,612 266,306 133,153 399,460 199,730 99,865 299,596 149,798 74,899 224,698 112,349 337,048 168,524 84,262 42,131

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