λ
Sequence Observatory

5,711,772

22 × 3 × 11 × 43271
Abundant Even Composite

Starting at 5,711,772, the Collatz iteration reaches 1 after 152 steps. The first transition is 2855886; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 43271
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,539,392
Proper Divisor Sum 8,827,620
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5711759 ← → #5711773

Radix Representation

Decimal 5711772
Binary 10101110010011110011100 (23 bits)
Octal 0o25623634
Hexadecimal 0x57279C

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 43,271 86,542 129,813 173,084 259,626 475,981 519,252 951,962 1,427,943 1,903,924 2,855,886 5,711,772

Collatz Trajectory (152 steps to reach 1)

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

5,711,772 2,855,886 1,427,943 4,283,830 2,141,915 6,425,746 3,212,873 9,638,620 4,819,310 2,409,655 7,228,966 3,614,483 10,843,450 5,421,725 16,265,176 8,132,588 4,066,294 2,033,147 6,099,442 3,049,721 9,149,164 4,574,582 2,287,291 6,861,874 3,430,937 10,292,812 5,146,406 2,573,203 7,719,610 3,859,805 11,579,416 5,789,708 2,894,854 1,447,427 4,342,282 2,171,141 6,513,424 3,256,712 1,628,356 814,178 407,089 1,221,268 610,634 305,317 915,952 457,976 228,988 114,494 57,247 171,742 85,871 257,614 128,807 386,422 193,211 579,634 289,817 869,452 434,726 217,363

More profiles

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