λ
Sequence Observatory

1,844,778

2 × 3 × 13 × 67 × 353
Abundant Even Composite

Starting at 1,844,778, the Collatz iteration reaches 1 after 78 steps. The first transition is 922389; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 67 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,044,096
Proper Divisor Sum 2,199,318
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1844749 ← → #1844813

Radix Representation

Decimal 1844778
Binary 111000010011000101010 (21 bits)
Octal 0o7023052
Hexadecimal 0x1C262A

Divisor Catalog (32)

1 2 3 6 13 26 39 67 78 134 201 353 402 706 871 1,059 1,742 2,118 2,613 4,589 5,226 9,178 13,767 23,651 27,534 47,302 70,953 141,906 307,463 614,926 922,389 1,844,778

Collatz Trajectory (78 steps to reach 1)

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

1,844,778 922,389 2,767,168 1,383,584 691,792 345,896 172,948 86,474 43,237 129,712 64,856 32,428 16,214 8,107 24,322 12,161 36,484 18,242 9,121 27,364 13,682 6,841 20,524 10,262 5,131 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56

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