4,647,771

3² × 23 × 22453

Starting at 4,647,771, the Collatz iteration reaches 1 after 268 steps. The first transition is 13943314; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23 × 22453

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,005,648

Proper Divisor Sum 2,357,877

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4647763 ← → #4647779

Radix Representation

Decimal	4647771
Binary	10001101110101101011011 (23 bits)
Octal	0o21565533
Hexadecimal	0x46EB5B

Divisor Catalog (12)

1 3 9 23 69 207 22,453 67,359 202,077 516,419 1,549,257 4,647,771

Collatz Trajectory (268 steps to reach 1)

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

4,647,771 13,943,314 6,971,657 20,914,972 10,457,486 5,228,743 15,686,230 7,843,115 23,529,346 11,764,673 35,294,020 17,647,010 8,823,505 26,470,516 13,235,258 6,617,629 19,852,888 9,926,444 4,963,222 2,481,611 7,444,834 3,722,417 11,167,252 5,583,626 2,791,813 8,375,440 4,187,720 2,093,860 1,046,930 523,465 1,570,396 785,198 392,599 1,177,798 588,899 1,766,698 883,349 2,650,048 1,325,024 662,512 331,256 165,628 82,814 41,407 124,222 62,111 186,334 93,167 279,502 139,751 419,254 209,627 628,882 314,441 943,324 471,662 235,831 707,494 353,747 1,061,242

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