709,215

3 × 5 × 13 × 3637

709,215 has the prime decomposition 3 × 5 × 13 × 3637. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 3637

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,222,368

Proper Divisor Sum 513,153

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #709211 ← → #709217

Radix Representation

Decimal	709215
Binary	10101101001001011111 (20 bits)
Octal	0o2551137
Hexadecimal	0xAD25F

Divisor Catalog (16)

1 3 5 13 15 39 65 195 3,637 10,911 18,185 47,281 54,555 141,843 236,405 709,215

Collatz Trajectory (123 steps to reach 1)

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

709,215 2,127,646 1,063,823 3,191,470 1,595,735 4,787,206 2,393,603 7,180,810 3,590,405 10,771,216 5,385,608 2,692,804 1,346,402 673,201 2,019,604 1,009,802 504,901 1,514,704 757,352 378,676 189,338 94,669 284,008 142,004 71,002 35,501 106,504 53,252 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

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