2,299,752

2³ × 3⁵ × 7 × 13²

2,299,752 factors as 2^3 × 3^5 × 7 × 13^2. Its 144 positive divisors give a proper-divisor sum of 5,693,688, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^3 × 3^5 × 7 × 13^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 7,993,440

Proper Divisor Sum 5,693,688

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2299733 ← → #2299753

Radix Representation

Decimal	2299752
Binary	1000110001011101101000 (22 bits)
Octal	0o10613550
Hexadecimal	0x231768

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 169 182 189 216 234 243 252 273 312 324 338 351 364 378 468 486 504 507 546 567 648 676 702 728

Collatz Trajectory (192 steps to reach 1)

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

2,299,752 1,149,876 574,938 287,469 862,408 431,204 215,602 107,801 323,404 161,702 80,851 242,554 121,277 363,832 181,916 90,958 45,479 136,438 68,219 204,658 102,329 306,988 153,494 76,747 230,242 115,121 345,364 172,682 86,341 259,024 129,512 64,756 32,378 16,189 48,568 24,284 12,142 6,071 18,214 9,107 27,322 13,661 40,984 20,492 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434

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