λ
Sequence Observatory

7,380,292

22 × 1845073
Deficient Even Composite

Starting at 7,380,292, the Collatz iteration reaches 1 after 80 steps. The first transition is 3690146; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1845073
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 12,915,518
Proper Divisor Sum 5,535,226
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7380283 ← → #7380293

Radix Representation

Decimal 7380292
Binary 11100001001110101000100 (23 bits)
Octal 0o34116504
Hexadecimal 0x709D44

Divisor Catalog (6)

1 2 4 1,845,073 3,690,146 7,380,292

Collatz Trajectory (80 steps to reach 1)

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

7,380,292 3,690,146 1,845,073 5,535,220 2,767,610 1,383,805 4,151,416 2,075,708 1,037,854 518,927 1,556,782 778,391 2,335,174 1,167,587 3,502,762 1,751,381 5,254,144 2,627,072 1,313,536 656,768 328,384 164,192 82,096 41,048 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

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