87,696

2⁴ × 3³ × 7 × 29

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 297,600

Proper Divisor Sum 209,904

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #87691 ← → #87697

Radix Representation

Decimal	87696
Binary	10101011010010000 (17 bits)
Octal	0o253220
Hexadecimal	0x15690

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 696 756 783 812 1,008 1,044 1,218 1,392 1,512 1,566 1,624

Collatz Trajectory (45 steps to reach 1)

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

87,696 43,848 21,924 10,962 5,481 16,444 8,222 4,111 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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