30,996

2² × 3³ × 7 × 41

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 94,080

Proper Divisor Sum 63,084

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #30983 ← → #31013

Radix Representation

Decimal	30996
Binary	111100100010100 (15 bits)
Octal	0o74424
Hexadecimal	0x7914

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 82 84 108 123 126 164 189 246 252 287 369 378 492 574 738 756 861 1,107 1,148 1,476 1,722 2,214 2,583 3,444 4,428 5,166 7,749 10,332 15,498 30,996

Collatz Trajectory (54 steps to reach 1)

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

30,996 15,498 7,749 23,248 11,624 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 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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