29,580

2² × 3 × 5 × 17 × 29

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 17 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 90,720

Proper Divisor Sum 61,140

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #29573 ← → #29581

Radix Representation

Decimal	29580
Binary	111001110001100 (15 bits)
Octal	0o71614
Hexadecimal	0x738C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1,020 1,479 1,740 1,972 2,465 2,958 4,930 5,916 7,395 9,860 14,790 29,580

Collatz Trajectory (41 steps to reach 1)

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

29,580 14,790 7,395 22,186 11,093 33,280 16,640 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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