3,965,463

3³ × 227 × 647

3,965,463 factors as 3^3 × 227 × 647. Its 16 positive divisors give a proper-divisor sum of 1,944,297, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^3 × 227 × 647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,909,760

Proper Divisor Sum 1,944,297

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3965461 ← → #3965483

Radix Representation

Decimal	3965463
Binary	1111001000001000010111 (22 bits)
Octal	0o17101027
Hexadecimal	0x3C8217

Divisor Catalog (16)

1 3 9 27 227 647 681 1,941 2,043 5,823 6,129 17,469 146,869 440,607 1,321,821 3,965,463

Collatz Trajectory (123 steps to reach 1)

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

3,965,463 11,896,390 5,948,195 17,844,586 8,922,293 26,766,880 13,383,440 6,691,720 3,345,860 1,672,930 836,465 2,509,396 1,254,698 627,349 1,882,048 941,024 470,512 235,256 117,628 58,814 29,407 88,222 44,111 132,334 66,167 198,502 99,251 297,754 148,877 446,632 223,316 111,658 55,829 167,488 83,744 41,872 20,936 10,468 5,234 2,617 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198

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