λ
Sequence Observatory

3,476,046

2 × 3 × 7 × 82763
Abundant Even Composite

Starting at 3,476,046, the Collatz iteration reaches 1 after 190 steps. The first transition is 1738023; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 82763
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,945,344
Proper Divisor Sum 4,469,298
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3476029 ← → #3476063

Radix Representation

Decimal 3476046
Binary 1101010000101001001110 (22 bits)
Octal 0o15205116
Hexadecimal 0x350A4E

Divisor Catalog (16)

1 2 3 6 7 14 21 42 82,763 165,526 248,289 496,578 579,341 1,158,682 1,738,023 3,476,046

Collatz Trajectory (190 steps to reach 1)

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

3,476,046 1,738,023 5,214,070 2,607,035 7,821,106 3,910,553 11,731,660 5,865,830 2,932,915 8,798,746 4,399,373 13,198,120 6,599,060 3,299,530 1,649,765 4,949,296 2,474,648 1,237,324 618,662 309,331 927,994 463,997 1,391,992 695,996 347,998 173,999 521,998 260,999 782,998 391,499 1,174,498 587,249 1,761,748 880,874 440,437 1,321,312 660,656 330,328 165,164 82,582 41,291 123,874 61,937 185,812 92,906 46,453 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676

More profiles

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