5,329,233

3⁵ × 7 × 13 × 241

5,329,233 has the prime decomposition 3^5 × 7 × 13 × 241. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 7 × 13 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,865,856

Proper Divisor Sum 4,536,623

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5329229 ← → #5329237

Radix Representation

Decimal	5329233
Binary	10100010101000101010001 (23 bits)
Octal	0o24250521
Hexadecimal	0x515151

Divisor Catalog (48)

1 3 7 9 13 21 27 39 63 81 91 117 189 241 243 273 351 567 723 819 1,053 1,687 1,701 2,169 2,457 3,133 3,159 5,061 6,507 7,371 9,399 15,183 19,521 21,931 22,113 28,197 45,549 58,563 65,793 84,591 136,647 197,379 253,773 409,941 592,137 761,319 1,776,411 5,329,233

Collatz Trajectory (118 steps to reach 1)

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

5,329,233 15,987,700 7,993,850 3,996,925 11,990,776 5,995,388 2,997,694 1,498,847 4,496,542 2,248,271 6,744,814 3,372,407 10,117,222 5,058,611 15,175,834 7,587,917 22,763,752 11,381,876 5,690,938 2,845,469 8,536,408 4,268,204 2,134,102 1,067,051 3,201,154 1,600,577 4,801,732 2,400,866 1,200,433 3,601,300 1,800,650 900,325 2,700,976 1,350,488 675,244 337,622 168,811 506,434 253,217 759,652 379,826 189,913 569,740 284,870 142,435 427,306 213,653 640,960 320,480 160,240 80,120 40,060 20,030 10,015 30,046 15,023 45,070 22,535 67,606 33,803

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