λ
Sequence Observatory

7,034,605

5 × 359 × 3919
Deficient Odd Composite

Starting at 7,034,605, the Collatz iteration reaches 1 after 67 steps. The first transition is 21103816; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 359 × 3919
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,467,200
Proper Divisor Sum 1,432,595
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7034603 ← → #7034611

Radix Representation

Decimal 7034605
Binary 11010110101011011101101 (23 bits)
Octal 0o32653355
Hexadecimal 0x6B56ED

Divisor Catalog (8)

1 5 359 1,795 3,919 19,595 1,406,921 7,034,605

Collatz Trajectory (67 steps to reach 1)

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

7,034,605 21,103,816 10,551,908 5,275,954 2,637,977 7,913,932 3,956,966 1,978,483 5,935,450 2,967,725 8,903,176 4,451,588 2,225,794 1,112,897 3,338,692 1,669,346 834,673 2,504,020 1,252,010 626,005 1,878,016 939,008 469,504 234,752 117,376 58,688 29,344 14,672 7,336 3,668 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

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