λ
Sequence Observatory

8,285,618

2 × 11 × 31 × 12149
Deficient Even Composite

Starting at 8,285,618, the Collatz iteration reaches 1 after 199 steps. The first transition is 4142809; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 31 × 12149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,996,800
Proper Divisor Sum 5,711,182
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8285617 ← → #8285621

Radix Representation

Decimal 8285618
Binary 11111100110110110110010 (23 bits)
Octal 0o37466662
Hexadecimal 0x7E6DB2

Divisor Catalog (16)

1 2 11 22 31 62 341 682 12,149 24,298 133,639 267,278 376,619 753,238 4,142,809 8,285,618

Collatz Trajectory (199 steps to reach 1)

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

8,285,618 4,142,809 12,428,428 6,214,214 3,107,107 9,321,322 4,660,661 13,981,984 6,990,992 3,495,496 1,747,748 873,874 436,937 1,310,812 655,406 327,703 983,110 491,555 1,474,666 737,333 2,212,000 1,106,000 553,000 276,500 138,250 69,125 207,376 103,688 51,844 25,922 12,961 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462

More profiles

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