λ
Sequence Observatory

1,075,540

22 × 5 × 53777
Abundant Even Composite

Starting at 1,075,540, the Collatz iteration reaches 1 after 72 steps. The first transition is 537770; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 53777
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,258,676
Proper Divisor Sum 1,183,136
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1075537 ← → #1075561

Radix Representation

Decimal 1075540
Binary 100000110100101010100 (21 bits)
Octal 0o4064524
Hexadecimal 0x106954

Divisor Catalog (12)

1 2 4 5 10 20 53,777 107,554 215,108 268,885 537,770 1,075,540

Collatz Trajectory (72 steps to reach 1)

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

1,075,540 537,770 268,885 806,656 403,328 201,664 100,832 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34

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