4,934,349

3² × 7² × 67 × 167

4,934,349 factors as 3^2 × 7^2 × 67 × 167. Its 36 positive divisors give a proper-divisor sum of 3,530,835, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 67 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 8,465,184

Proper Divisor Sum 3,530,835

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4934341 ← → #4934383

Radix Representation

Decimal	4934349
Binary	10010110100101011001101 (23 bits)
Octal	0o22645315
Hexadecimal	0x4B4ACD

Divisor Catalog (36)

1 3 7 9 21 49 63 67 147 167 201 441 469 501 603 1,169 1,407 1,503 3,283 3,507 4,221 8,183 9,849 10,521 11,189 24,549 29,547 33,567 73,647 78,323 100,701 234,969 548,261 704,907 1,644,783 4,934,349

Collatz Trajectory (113 steps to reach 1)

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

4,934,349 14,803,048 7,401,524 3,700,762 1,850,381 5,551,144 2,775,572 1,387,786 693,893 2,081,680 1,040,840 520,420 260,210 130,105 390,316 195,158 97,579 292,738 146,369 439,108 219,554 109,777 329,332 164,666 82,333 247,000 123,500 61,750 30,875 92,626 46,313 138,940 69,470 34,735 104,206 52,103 156,310 78,155 234,466 117,233 351,700 175,850 87,925 263,776 131,888 65,944 32,972 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218

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