λ
Sequence Observatory

24,598

2 × 72 × 251
Deficient Even Composite

Starting at 24,598, the Collatz iteration reaches 1 after 113 steps. The first transition is 12299; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 43,092
Proper Divisor Sum 18,494
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #24593 ← → #24611

Radix Representation

Decimal 24598
Binary 110000000010110 (15 bits)
Octal 0o60026
Hexadecimal 0x6016

Divisor Catalog (12)

1 2 7 14 49 98 251 502 1,757 3,514 12,299 24,598

Collatz Trajectory (113 steps to reach 1)

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

24,598 12,299 36,898 18,449 55,348 27,674 13,837 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

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