λ
Sequence Observatory

3,011,634

2 × 33 × 43 × 1297
Abundant Even Composite

Starting at 3,011,634, the Collatz iteration reaches 1 after 63 steps. The first transition is 1505817; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 43 × 1297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,853,440
Proper Divisor Sum 3,841,806
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3011629 ← → #3011641

Radix Representation

Decimal 3011634
Binary 1011011111010000110010 (22 bits)
Octal 0o13372062
Hexadecimal 0x2DF432

Divisor Catalog (32)

1 2 3 6 9 18 27 43 54 86 129 258 387 774 1,161 1,297 2,322 2,594 3,891 7,782 11,673 23,346 35,019 55,771 70,038 111,542 167,313 334,626 501,939 1,003,878 1,505,817 3,011,634

Collatz Trajectory (63 steps to reach 1)

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

3,011,634 1,505,817 4,517,452 2,258,726 1,129,363 3,388,090 1,694,045 5,082,136 2,541,068 1,270,534 635,267 1,905,802 952,901 2,858,704 1,429,352 714,676 357,338 178,669 536,008 268,004 134,002 67,001 201,004 100,502 50,251 150,754 75,377 226,132 113,066 56,533 169,600 84,800 42,400 21,200 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16

More profiles

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