λ
Sequence Observatory

1,685,645

5 × 13 × 25933
Deficient Odd Composite

Starting at 1,685,645, the Collatz iteration reaches 1 after 70 steps. The first transition is 5056936; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 25933
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,178,456
Proper Divisor Sum 492,811
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1685627 ← → #1685681

Radix Representation

Decimal 1685645
Binary 110011011100010001101 (21 bits)
Octal 0o6334215
Hexadecimal 0x19B88D

Divisor Catalog (8)

1 5 13 65 25,933 129,665 337,129 1,685,645

Collatz Trajectory (70 steps to reach 1)

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

1,685,645 5,056,936 2,528,468 1,264,234 632,117 1,896,352 948,176 474,088 237,044 118,522 59,261 177,784 88,892 44,446 22,223 66,670 33,335 100,006 50,003 150,010 75,005 225,016 112,508 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52

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