4,492,740

2² × 3 × 5 × 7 × 19 × 563

4,492,740 factors as 2^2 × 3 × 5 × 7 × 19 × 563. Its 96 positive divisors give a proper-divisor sum of 10,667,580, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 19 × 563

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 15,160,320

Proper Divisor Sum 10,667,580

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4492727 ← → #4492753

Radix Representation

Decimal	4492740
Binary	10001001000110111000100 (23 bits)
Octal	0o21106704
Hexadecimal	0x448DC4

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 563 570 665 798 1,126 1,140 1,330 1,596 1,689 1,995 2,252 2,660 2,815 3,378 3,941 3,990 5,630 6,756 7,882 7,980 8,445 10,697

Collatz Trajectory (87 steps to reach 1)

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

4,492,740 2,246,370 1,123,185 3,369,556 1,684,778 842,389 2,527,168 1,263,584 631,792 315,896 157,948 78,974 39,487 118,462 59,231 177,694 88,847 266,542 133,271 399,814 199,907 599,722 299,861 899,584 449,792 224,896 112,448 56,224 28,112 14,056 7,028 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134

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