λ
Sequence Observatory

5,735,970

2 × 32 × 5 × 17 × 23 × 163
Abundant Even Composite

Starting at 5,735,970, the Collatz iteration reaches 1 after 170 steps. The first transition is 2867985; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 17 × 23 × 163
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 16,578,432
Proper Divisor Sum 10,842,462
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5735963 ← → #5735981

Radix Representation

Decimal 5735970
Binary 10101111000011000100010 (23 bits)
Octal 0o25703042
Hexadecimal 0x578622

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 163 170 207 230 255 306 326 345 391 414 489 510 690 765 782 815 978 1,035 1,173 1,467 1,530 1,630 1,955 2,070 2,346 2,445 2,771 2,934 3,519 3,749 3,910 4,890 5,542 5,865 7,038 7,335 7,498

Collatz Trajectory (170 steps to reach 1)

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

5,735,970 2,867,985 8,603,956 4,301,978 2,150,989 6,452,968 3,226,484 1,613,242 806,621 2,419,864 1,209,932 604,966 302,483 907,450 453,725 1,361,176 680,588 340,294 170,147 510,442 255,221 765,664 382,832 191,416 95,708 47,854 23,927 71,782 35,891 107,674 53,837 161,512 80,756 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012

More profiles

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