4,573,089

3² × 31 × 37 × 443

4,573,089 factors as 3^2 × 31 × 37 × 443. Its 24 positive divisors give a proper-divisor sum of 2,445,663, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3^2 × 31 × 37 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,018,752

Proper Divisor Sum 2,445,663

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4573081 ← → #4573103

Radix Representation

Decimal	4573089
Binary	10001011100011110100001 (23 bits)
Octal	0o21343641
Hexadecimal	0x45C7A1

Divisor Catalog (24)

1 3 9 31 37 93 111 279 333 443 1,147 1,329 3,441 3,987 10,323 13,733 16,391 41,199 49,173 123,597 147,519 508,121 1,524,363 4,573,089

Collatz Trajectory (79 steps to reach 1)

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

4,573,089 13,719,268 6,859,634 3,429,817 10,289,452 5,144,726 2,572,363 7,717,090 3,858,545 11,575,636 5,787,818 2,893,909 8,681,728 4,340,864 2,170,432 1,085,216 542,608 271,304 135,652 67,826 33,913 101,740 50,870 25,435 76,306 38,153 114,460 57,230 28,615 85,846 42,923 128,770 64,385 193,156 96,578 48,289 144,868 72,434 36,217 108,652 54,326 27,163 81,490 40,745 122,236 61,118 30,559 91,678 45,839 137,518 68,759 206,278 103,139 309,418 154,709 464,128 232,064 116,032 58,016 29,008

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