4,831,564

2² × 23 × 52517

4,831,564 factors as 2^2 × 23 × 52517. Its 12 positive divisors give a proper-divisor sum of 3,991,460, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 52517

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,823,024

Proper Divisor Sum 3,991,460

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4831559 ← → #4831577

Radix Representation

Decimal	4831564
Binary	10010011011100101001100 (23 bits)
Octal	0o22334514
Hexadecimal	0x49B94C

Divisor Catalog (12)

1 2 4 23 46 92 52,517 105,034 210,068 1,207,891 2,415,782 4,831,564

Collatz Trajectory (118 steps to reach 1)

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

4,831,564 2,415,782 1,207,891 3,623,674 1,811,837 5,435,512 2,717,756 1,358,878 679,439 2,038,318 1,019,159 3,057,478 1,528,739 4,586,218 2,293,109 6,879,328 3,439,664 1,719,832 859,916 429,958 214,979 644,938 322,469 967,408 483,704 241,852 120,926 60,463 181,390 90,695 272,086 136,043 408,130 204,065 612,196 306,098 153,049 459,148 229,574 114,787 344,362 172,181 516,544 258,272 129,136 64,568 32,284 16,142 8,071 24,214 12,107 36,322 18,161 54,484 27,242 13,621 40,864 20,432 10,216 5,108

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