λ
Zalai Atlas

26,429

13 × 19 × 107
Deficient Odd Composite

26,429 has the prime decomposition 13 × 19 × 107. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 19 × 107
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 30,240
Proper Divisor Sum 3,811
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #26423 ← → #26431

Radix Representation

Decimal 26429
Binary 110011100111101 (15 bits)
Octal 0o63475
Hexadecimal 0x673D

Divisor Catalog (8)

1 13 19 107 247 1,391 2,033 26,429

Collatz Trajectory (77 steps to reach 1)

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

26,429 79,288 39,644 19,822 9,911 29,734 14,867 44,602 22,301 66,904 33,452 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29

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