26,553

3 × 53 × 167

26,553 is odd and not a perfect square. Its factorization is 3 × 53 × 167 and its 8 divisors sum to 36,288.

Prime Factor Structure

Factorization String 3 × 53 × 167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 36,288

Proper Divisor Sum 9,735

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #26539 ← → #26557

Radix Representation

Decimal	26553
Binary	110011110111001 (15 bits)
Octal	0o63671
Hexadecimal	0x67B9

Divisor Catalog (8)

1 3 53 159 167 501 8,851 26,553

Collatz Trajectory (77 steps to reach 1)

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

26,553 79,660 39,830 19,915 59,746 29,873 89,620 44,810 22,405 67,216 33,608 16,804 8,402 4,201 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29

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