λ
Sequence Observatory

5,026,764

22 × 3 × 17 × 41 × 601
Abundant Even Composite

Starting at 5,026,764, the Collatz iteration reaches 1 after 237 steps. The first transition is 2513382; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 41 × 601
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,743,136
Proper Divisor Sum 7,716,372
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5026759 ← → #5026771

Radix Representation

Decimal 5026764
Binary 10011001011001111001100 (23 bits)
Octal 0o23131714
Hexadecimal 0x4CB3CC

Divisor Catalog (48)

1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 601 697 1,202 1,394 1,803 2,091 2,404 2,788 3,606 4,182 7,212 8,364 10,217 20,434 24,641 30,651 40,868 49,282 61,302 73,923 98,564 122,604 147,846 295,692 418,897 837,794 1,256,691 1,675,588 2,513,382 5,026,764

Collatz Trajectory (237 steps to reach 1)

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

5,026,764 2,513,382 1,256,691 3,770,074 1,885,037 5,655,112 2,827,556 1,413,778 706,889 2,120,668 1,060,334 530,167 1,590,502 795,251 2,385,754 1,192,877 3,578,632 1,789,316 894,658 447,329 1,341,988 670,994 335,497 1,006,492 503,246 251,623 754,870 377,435 1,132,306 566,153 1,698,460 849,230 424,615 1,273,846 636,923 1,910,770 955,385 2,866,156 1,433,078 716,539 2,149,618 1,074,809 3,224,428 1,612,214 806,107 2,418,322 1,209,161 3,627,484 1,813,742 906,871 2,720,614 1,360,307 4,080,922 2,040,461 6,121,384 3,060,692 1,530,346 765,173 2,295,520 1,147,760

More profiles

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