λ
Sequence Observatory

2,442,692

22 × 7 × 23 × 3793
Abundant Even Composite

Starting at 2,442,692, the Collatz iteration reaches 1 after 86 steps. The first transition is 1221346; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 3793
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,099,136
Proper Divisor Sum 2,656,444
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2442683 ← → #2442719

Radix Representation

Decimal 2442692
Binary 1001010100010111000100 (22 bits)
Octal 0o11242704
Hexadecimal 0x2545C4

Divisor Catalog (24)

1 2 4 7 14 23 28 46 92 161 322 644 3,793 7,586 15,172 26,551 53,102 87,239 106,204 174,478 348,956 610,673 1,221,346 2,442,692

Collatz Trajectory (86 steps to reach 1)

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

2,442,692 1,221,346 610,673 1,832,020 916,010 458,005 1,374,016 687,008 343,504 171,752 85,876 42,938 21,469 64,408 32,204 16,102 8,051 24,154 12,077 36,232 18,116 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433

More profiles

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