26,751

3 × 37 × 241

For 26,751, the 8 positive divisors have a total of 36,784. Removing 26,751 leaves 10,033, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 37 × 241

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 36,784

Proper Divisor Sum 10,033

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #26737 ← → #26759

Radix Representation

Decimal	26751
Binary	110100001111111 (15 bits)
Octal	0o64177
Hexadecimal	0x687F

Divisor Catalog (8)

1 3 37 111 241 723 8,917 26,751

Collatz Trajectory (121 steps to reach 1)

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

26,751 80,254 40,127 120,382 60,191 180,574 90,287 270,862 135,431 406,294 203,147 609,442 304,721 914,164 457,082 228,541 685,624 342,812 171,406 85,703 257,110 128,555 385,666 192,833 578,500 289,250 144,625 433,876 216,938 108,469 325,408 162,704 81,352 40,676 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019

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