4,431,116

2² × 41² × 659

4,431,116 factors as 2^2 × 41^2 × 659. Its 18 positive divisors give a proper-divisor sum of 3,529,144, so this integer is deficient. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^2 × 41^2 × 659

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 7,960,260

Proper Divisor Sum 3,529,144

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4431103 ← → #4431127

Radix Representation

Decimal	4431116
Binary	10000111001110100001100 (23 bits)
Octal	0o20716414
Hexadecimal	0x439D0C

Divisor Catalog (18)

1 2 4 41 82 164 659 1,318 1,681 2,636 3,362 6,724 27,019 54,038 108,076 1,107,779 2,215,558 4,431,116

Collatz Trajectory (61 steps to reach 1)

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

4,431,116 2,215,558 1,107,779 3,323,338 1,661,669 4,985,008 2,492,504 1,246,252 623,126 311,563 934,690 467,345 1,402,036 701,018 350,509 1,051,528 525,764 262,882 131,441 394,324 197,162 98,581 295,744 147,872 73,936 36,968 18,484 9,242 4,621 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

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