443,716

2² × 7 × 13 × 23 × 53

443,716 is even and not a perfect square. Its factorization is 2^2 × 7 × 13 × 23 × 53 and its 48 divisors sum to 1,016,064.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 23 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,016,064

Proper Divisor Sum 572,348

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #443711 ← → #443731

Radix Representation

Decimal	443716
Binary	1101100010101000100 (19 bits)
Octal	0o1542504
Hexadecimal	0x6C544

Divisor Catalog (48)

1 2 4 7 13 14 23 26 28 46 52 53 91 92 106 161 182 212 299 322 364 371 598 644 689 742 1,196 1,219 1,378 1,484 2,093 2,438 2,756 4,186 4,823 4,876 8,372 8,533 9,646 15,847 17,066 19,292 31,694 34,132 63,388 110,929 221,858 443,716

Collatz Trajectory (94 steps to reach 1)

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

443,716 221,858 110,929 332,788 166,394 83,197 249,592 124,796 62,398 31,199 93,598 46,799 140,398 70,199 210,598 105,299 315,898 157,949 473,848 236,924 118,462 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

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