λ
Sequence Observatory

418,102

2 × 349 × 599
Deficient Even Composite

Starting at 418,102, the Collatz iteration reaches 1 after 112 steps. The first transition is 209051; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 349 × 599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 630,000
Proper Divisor Sum 211,898
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #418087 ← → #418109

Radix Representation

Decimal 418102
Binary 1100110000100110110 (19 bits)
Octal 0o1460466
Hexadecimal 0x66136

Divisor Catalog (8)

1 2 349 599 698 1,198 209,051 418,102

Collatz Trajectory (112 steps to reach 1)

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

418,102 209,051 627,154 313,577 940,732 470,366 235,183 705,550 352,775 1,058,326 529,163 1,587,490 793,745 2,381,236 1,190,618 595,309 1,785,928 892,964 446,482 223,241 669,724 334,862 167,431 502,294 251,147 753,442 376,721 1,130,164 565,082 282,541 847,624 423,812 211,906 105,953 317,860 158,930 79,465 238,396 119,198 59,599 178,798 89,399 268,198 134,099 402,298 201,149 603,448 301,724 150,862 75,431 226,294 113,147 339,442 169,721 509,164 254,582 127,291 381,874 190,937 572,812

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