λ
Sequence Observatory

1,684,454

2 × 61 × 13807
Deficient Even Composite

Starting at 1,684,454, the Collatz iteration reaches 1 after 207 steps. The first transition is 842227; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 61 × 13807
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,568,288
Proper Divisor Sum 883,834
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1684427 ← → #1684477

Radix Representation

Decimal 1684454
Binary 110011011001111100110 (21 bits)
Octal 0o6331746
Hexadecimal 0x19B3E6

Divisor Catalog (8)

1 2 61 122 13,807 27,614 842,227 1,684,454

Collatz Trajectory (207 steps to reach 1)

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

1,684,454 842,227 2,526,682 1,263,341 3,790,024 1,895,012 947,506 473,753 1,421,260 710,630 355,315 1,065,946 532,973 1,598,920 799,460 399,730 199,865 599,596 299,798 149,899 449,698 224,849 674,548 337,274 168,637 505,912 252,956 126,478 63,239 189,718 94,859 284,578 142,289 426,868 213,434 106,717 320,152 160,076 80,038 40,019 120,058 60,029 180,088 90,044 45,022 22,511 67,534 33,767 101,302 50,651 151,954 75,977 227,932 113,966 56,983 170,950 85,475 256,426 128,213 384,640

More profiles

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