λ
Sequence Observatory

3,321,979

19 × 29 × 6029
Deficient Odd Composite

Starting at 3,321,979, the Collatz iteration reaches 1 after 252 steps. The first transition is 9965938; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 29 × 6029
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,618,000
Proper Divisor Sum 296,021
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3321977 ← → #3322001

Radix Representation

Decimal 3321979
Binary 1100101011000001111011 (22 bits)
Octal 0o14530173
Hexadecimal 0x32B07B

Divisor Catalog (8)

1 19 29 551 6,029 114,551 174,841 3,321,979

Collatz Trajectory (252 steps to reach 1)

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

3,321,979 9,965,938 4,982,969 14,948,908 7,474,454 3,737,227 11,211,682 5,605,841 16,817,524 8,408,762 4,204,381 12,613,144 6,306,572 3,153,286 1,576,643 4,729,930 2,364,965 7,094,896 3,547,448 1,773,724 886,862 443,431 1,330,294 665,147 1,995,442 997,721 2,993,164 1,496,582 748,291 2,244,874 1,122,437 3,367,312 1,683,656 841,828 420,914 210,457 631,372 315,686 157,843 473,530 236,765 710,296 355,148 177,574 88,787 266,362 133,181 399,544 199,772 99,886 49,943 149,830 74,915 224,746 112,373 337,120 168,560 84,280 42,140 21,070

More profiles

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