λ
Prime Ledger

698,074

2 × 13 × 26849
Deficient Even Composite

698,074 has the prime decomposition 2 × 13 × 26849. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 26849
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,127,700
Proper Divisor Sum 429,626
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #698053 ← → #698077

Radix Representation

Decimal 698074
Binary 10101010011011011010 (20 bits)
Octal 0o2523332
Hexadecimal 0xAA6DA

Divisor Catalog (8)

1 2 13 26 26,849 53,698 349,037 698,074

Collatz Trajectory (123 steps to reach 1)

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

698,074 349,037 1,047,112 523,556 261,778 130,889 392,668 196,334 98,167 294,502 147,251 441,754 220,877 662,632 331,316 165,658 82,829 248,488 124,244 62,122 31,061 93,184 46,592 23,296 11,648 5,824 2,912 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

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