4,769,050

2 × 5² × 11 × 13 × 23 × 29

4,769,050 factors as 2 × 5^2 × 11 × 13 × 23 × 29. Its 96 positive divisors give a proper-divisor sum of 6,480,230, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 13 × 23 × 29

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 11,249,280

Proper Divisor Sum 6,480,230

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4769047 ← → #4769053

Radix Representation

Decimal	4769050
Binary	10010001100010100011010 (23 bits)
Octal	0o22142432
Hexadecimal	0x48C51A

Divisor Catalog (60 of 96)

1 2 5 10 11 13 22 23 25 26 29 46 50 55 58 65 110 115 130 143 145 230 253 275 286 290 299 319 325 377 506 550 575 598 638 650 667 715 725 754 1,150 1,265 1,334 1,430 1,450 1,495 1,595 1,885 2,530 2,990 3,190 3,289 3,335 3,575 3,770 4,147 6,325 6,578 6,670 7,150

Collatz Trajectory (162 steps to reach 1)

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

4,769,050 2,384,525 7,153,576 3,576,788 1,788,394 894,197 2,682,592 1,341,296 670,648 335,324 167,662 83,831 251,494 125,747 377,242 188,621 565,864 282,932 141,466 70,733 212,200 106,100 53,050 26,525 79,576 39,788 19,894 9,947 29,842 14,921 44,764 22,382 11,191 33,574 16,787 50,362 25,181 75,544 37,772 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142

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