λ
Sequence Observatory

2,916,990

2 × 32 × 5 × 32411
Abundant Even Composite

Starting at 2,916,990, the Collatz iteration reaches 1 after 200 steps. The first transition is 1458495; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 32411
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,584,408
Proper Divisor Sum 4,667,418
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2916971 ← → #2917001

Radix Representation

Decimal 2916990
Binary 1011001000001001111110 (22 bits)
Octal 0o13101176
Hexadecimal 0x2C827E

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 32,411 64,822 97,233 162,055 194,466 291,699 324,110 486,165 583,398 972,330 1,458,495 2,916,990

Collatz Trajectory (200 steps to reach 1)

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

2,916,990 1,458,495 4,375,486 2,187,743 6,563,230 3,281,615 9,844,846 4,922,423 14,767,270 7,383,635 22,150,906 11,075,453 33,226,360 16,613,180 8,306,590 4,153,295 12,459,886 6,229,943 18,689,830 9,344,915 28,034,746 14,017,373 42,052,120 21,026,060 10,513,030 5,256,515 15,769,546 7,884,773 23,654,320 11,827,160 5,913,580 2,956,790 1,478,395 4,435,186 2,217,593 6,652,780 3,326,390 1,663,195 4,989,586 2,494,793 7,484,380 3,742,190 1,871,095 5,613,286 2,806,643 8,419,930 4,209,965 12,629,896 6,314,948 3,157,474 1,578,737 4,736,212 2,368,106 1,184,053 3,552,160 1,776,080 888,040 444,020 222,010 111,005

More profiles

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