39,936

2¹⁰ × 3 × 13

Prime Factor Structure

Factorization String 2^10 × 3 × 13

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 44

Divisor Sum (σ) 114,632

Proper Divisor Sum 74,696

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #39929 ← → #39937

Radix Representation

Decimal	39936
Binary	1001110000000000 (16 bits)
Octal	0o116000
Hexadecimal	0x9C00

Divisor Catalog (44)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1,024 1,248 1,536 1,664 2,496 3,072 3,328 4,992 6,656 9,984 13,312 19,968 39,936

Collatz Trajectory (44 steps to reach 1)

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

39,936 19,968 9,984 4,992 2,496 1,248 624 312 156 78 39 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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