29,880

2³ × 3² × 5 × 83

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 98,280

Proper Divisor Sum 68,400

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #29879 ← → #29881

Radix Representation

Decimal	29880
Binary	111010010111000 (15 bits)
Octal	0o72270
Hexadecimal	0x74B8

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1,245 1,494 1,660 1,992 2,490 2,988 3,320 3,735 4,980 5,976 7,470 9,960 14,940 29,880

Collatz Trajectory (41 steps to reach 1)

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

29,880 14,940 7,470 3,735 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 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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