λ
Sequence Observatory

3,209,870

2 × 5 × 199 × 1613
Deficient Even Composite

Starting at 3,209,870, the Collatz iteration reaches 1 after 94 steps. The first transition is 1604935; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 199 × 1613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,810,400
Proper Divisor Sum 2,600,530
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3209867 ← → #3209887

Radix Representation

Decimal 3209870
Binary 1100001111101010001110 (22 bits)
Octal 0o14175216
Hexadecimal 0x30FA8E

Divisor Catalog (16)

1 2 5 10 199 398 995 1,613 1,990 3,226 8,065 16,130 320,987 641,974 1,604,935 3,209,870

Collatz Trajectory (94 steps to reach 1)

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

3,209,870 1,604,935 4,814,806 2,407,403 7,222,210 3,611,105 10,833,316 5,416,658 2,708,329 8,124,988 4,062,494 2,031,247 6,093,742 3,046,871 9,140,614 4,570,307 13,710,922 6,855,461 20,566,384 10,283,192 5,141,596 2,570,798 1,285,399 3,856,198 1,928,099 5,784,298 2,892,149 8,676,448 4,338,224 2,169,112 1,084,556 542,278 271,139 813,418 406,709 1,220,128 610,064 305,032 152,516 76,258 38,129 114,388 57,194 28,597 85,792 42,896 21,448 10,724 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395

More profiles

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