96,738

2 × 3 × 23 × 701

For 96,738, the 16 positive divisors have a total of 202,176. Removing 96,738 leaves 105,438, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 701

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 202,176

Proper Divisor Sum 105,438

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #96737 ← → #96739

Radix Representation

Decimal	96738
Binary	10111100111100010 (17 bits)
Octal	0o274742
Hexadecimal	0x179E2

Divisor Catalog (16)

1 2 3 6 23 46 69 138 701 1,402 2,103 4,206 16,123 32,246 48,369 96,738

Collatz Trajectory (97 steps to reach 1)

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

96,738 48,369 145,108 72,554 36,277 108,832 54,416 27,208 13,604 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144

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