λ
Sequence Observatory

2,434,734

2 × 32 × 23 × 5881
Abundant Even Composite

Starting at 2,434,734, the Collatz iteration reaches 1 after 174 steps. The first transition is 1217367; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 5881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,505,552
Proper Divisor Sum 3,070,818
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2434727 ← → #2434739

Radix Representation

Decimal 2434734
Binary 1001010010011010101110 (22 bits)
Octal 0o11223256
Hexadecimal 0x2526AE

Divisor Catalog (24)

1 2 3 6 9 18 23 46 69 138 207 414 5,881 11,762 17,643 35,286 52,929 105,858 135,263 270,526 405,789 811,578 1,217,367 2,434,734

Collatz Trajectory (174 steps to reach 1)

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

2,434,734 1,217,367 3,652,102 1,826,051 5,478,154 2,739,077 8,217,232 4,108,616 2,054,308 1,027,154 513,577 1,540,732 770,366 385,183 1,155,550 577,775 1,733,326 866,663 2,599,990 1,299,995 3,899,986 1,949,993 5,849,980 2,924,990 1,462,495 4,387,486 2,193,743 6,581,230 3,290,615 9,871,846 4,935,923 14,807,770 7,403,885 22,211,656 11,105,828 5,552,914 2,776,457 8,329,372 4,164,686 2,082,343 6,247,030 3,123,515 9,370,546 4,685,273 14,055,820 7,027,910 3,513,955 10,541,866 5,270,933 15,812,800 7,906,400 3,953,200 1,976,600 988,300 494,150 247,075 741,226 370,613 1,111,840 555,920

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