λ
Sequence Observatory

1,065,378

2 × 3 × 37 × 4799
Abundant Even Composite

Starting at 1,065,378, the Collatz iteration reaches 1 after 59 steps. The first transition is 532689; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 4799
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,188,800
Proper Divisor Sum 1,123,422
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1065347 ← → #1065391

Radix Representation

Decimal 1065378
Binary 100000100000110100010 (21 bits)
Octal 0o4040642
Hexadecimal 0x1041A2

Divisor Catalog (16)

1 2 3 6 37 74 111 222 4,799 9,598 14,397 28,794 177,563 355,126 532,689 1,065,378

Collatz Trajectory (59 steps to reach 1)

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

1,065,378 532,689 1,598,068 799,034 399,517 1,198,552 599,276 299,638 149,819 449,458 224,729 674,188 337,094 168,547 505,642 252,821 758,464 379,232 189,616 94,808 47,404 23,702 11,851 35,554 17,777 53,332 26,666 13,333 40,000 20,000 10,000 5,000 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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