173,376

2⁶ × 3² × 7 × 43

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 581,152

Proper Divisor Sum 407,776

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #173359 ← → #173429

Radix Representation

Decimal	173376
Binary	101010010101000000 (18 bits)
Octal	0o522500
Hexadecimal	0x2A540

Divisor Catalog (60 of 84)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 64 72 84 86 96 112 126 129 144 168 172 192 224 252 258 288 301 336 344 387 448 504 516 576 602 672 688 774 903 1,008 1,032 1,204 1,344 1,376 1,548 1,806 2,016 2,064

Collatz Trajectory (59 steps to reach 1)

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

173,376 86,688 43,344 21,672 10,836 5,418 2,709 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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