5,230,764

2² × 3³ × 7 × 11 × 17 × 37

5,230,764 factors as 2^2 × 3^3 × 7 × 11 × 17 × 37. Its 192 positive divisors give a proper-divisor sum of 13,155,156, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 11 × 17 × 37

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 18,385,920

Proper Divisor Sum 13,155,156

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5230751 ← → #5230789

Radix Representation

Decimal	5230764
Binary	10011111101000010101100 (23 bits)
Octal	0o23750254
Hexadecimal	0x4FD0AC

Divisor Catalog (60 of 192)

1 2 3 4 6 7 9 11 12 14 17 18 21 22 27 28 33 34 36 37 42 44 51 54 63 66 68 74 77 84 99 102 108 111 119 126 132 148 153 154 187 189 198 204 222 231 238 252 259 297 306 308 333 357 374 378 396 407 444 459

Collatz Trajectory (82 steps to reach 1)

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

5,230,764 2,615,382 1,307,691 3,923,074 1,961,537 5,884,612 2,942,306 1,471,153 4,413,460 2,206,730 1,103,365 3,310,096 1,655,048 827,524 413,762 206,881 620,644 310,322 155,161 465,484 232,742 116,371 349,114 174,557 523,672 261,836 130,918 65,459 196,378 98,189 294,568 147,284 73,642 36,821 110,464 55,232 27,616 13,808 6,904 3,452 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154

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