2,354,324

2² × 7 × 47 × 1789

2,354,324 factors as 2^2 × 7 × 47 × 1789. Its 24 positive divisors give a proper-divisor sum of 2,457,196, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 47 × 1789

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,811,520

Proper Divisor Sum 2,457,196

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2354311 ← → #2354351

Radix Representation

Decimal	2354324
Binary	1000111110110010010100 (22 bits)
Octal	0o10766224
Hexadecimal	0x23EC94

Divisor Catalog (24)

1 2 4 7 14 28 47 94 188 329 658 1,316 1,789 3,578 7,156 12,523 25,046 50,092 84,083 168,166 336,332 588,581 1,177,162 2,354,324

Collatz Trajectory (135 steps to reach 1)

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

2,354,324 1,177,162 588,581 1,765,744 882,872 441,436 220,718 110,359 331,078 165,539 496,618 248,309 744,928 372,464 186,232 93,116 46,558 23,279 69,838 34,919 104,758 52,379 157,138 78,569 235,708 117,854 58,927 176,782 88,391 265,174 132,587 397,762 198,881 596,644 298,322 149,161 447,484 223,742 111,871 335,614 167,807 503,422 251,711 755,134 377,567 1,132,702 566,351 1,699,054 849,527 2,548,582 1,274,291 3,822,874 1,911,437 5,734,312 2,867,156 1,433,578 716,789 2,150,368 1,075,184 537,592

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