λ
Sequence Observatory

6,710,619

3 × 2236873
Deficient Odd Composite

Starting at 6,710,619, the Collatz iteration reaches 1 after 222 steps. The first transition is 20131858; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2236873
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,947,496
Proper Divisor Sum 2,236,877
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6710617 ← → #6710621

Radix Representation

Decimal 6710619
Binary 11001100110010101011011 (23 bits)
Octal 0o31462533
Hexadecimal 0x66655B

Divisor Catalog (4)

1 3 2,236,873 6,710,619

Collatz Trajectory (222 steps to reach 1)

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

6,710,619 20,131,858 10,065,929 30,197,788 15,098,894 7,549,447 22,648,342 11,324,171 33,972,514 16,986,257 50,958,772 25,479,386 12,739,693 38,219,080 19,109,540 9,554,770 4,777,385 14,332,156 7,166,078 3,583,039 10,749,118 5,374,559 16,123,678 8,061,839 24,185,518 12,092,759 36,278,278 18,139,139 54,417,418 27,208,709 81,626,128 40,813,064 20,406,532 10,203,266 5,101,633 15,304,900 7,652,450 3,826,225 11,478,676 5,739,338 2,869,669 8,609,008 4,304,504 2,152,252 1,076,126 538,063 1,614,190 807,095 2,421,286 1,210,643 3,631,930 1,815,965 5,447,896 2,723,948 1,361,974 680,987 2,042,962 1,021,481 3,064,444 1,532,222

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