λ
Sequence Observatory

1,971,770

2 × 5 × 269 × 733
Deficient Even Composite

Starting at 1,971,770, the Collatz iteration reaches 1 after 122 steps. The first transition is 985885; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 269 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,567,240
Proper Divisor Sum 1,595,470
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1971727 ← → #1971799

Radix Representation

Decimal 1971770
Binary 111100001011000111010 (21 bits)
Octal 0o7413072
Hexadecimal 0x1E163A

Divisor Catalog (16)

1 2 5 10 269 538 733 1,345 1,466 2,690 3,665 7,330 197,177 394,354 985,885 1,971,770

Collatz Trajectory (122 steps to reach 1)

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

1,971,770 985,885 2,957,656 1,478,828 739,414 369,707 1,109,122 554,561 1,663,684 831,842 415,921 1,247,764 623,882 311,941 935,824 467,912 233,956 116,978 58,489 175,468 87,734 43,867 131,602 65,801 197,404 98,702 49,351 148,054 74,027 222,082 111,041 333,124 166,562 83,281 249,844 124,922 62,461 187,384 93,692 46,846 23,423 70,270 35,135 105,406 52,703 158,110 79,055 237,166 118,583 355,750 177,875 533,626 266,813 800,440 400,220 200,110 100,055 300,166 150,083 450,250

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