λ
Sequence Observatory

4,920,378

2 × 3 × 17 × 48239
Abundant Even Composite

Starting at 4,920,378, the Collatz iteration reaches 1 after 82 steps. The first transition is 2460189; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 48239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,419,840
Proper Divisor Sum 5,499,462
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4920347 ← → #4920379

Radix Representation

Decimal 4920378
Binary 10010110001010000111010 (23 bits)
Octal 0o22612072
Hexadecimal 0x4B143A

Divisor Catalog (16)

1 2 3 6 17 34 51 102 48,239 96,478 144,717 289,434 820,063 1,640,126 2,460,189 4,920,378

Collatz Trajectory (82 steps to reach 1)

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

4,920,378 2,460,189 7,380,568 3,690,284 1,845,142 922,571 2,767,714 1,383,857 4,151,572 2,075,786 1,037,893 3,113,680 1,556,840 778,420 389,210 194,605 583,816 291,908 145,954 72,977 218,932 109,466 54,733 164,200 82,100 41,050 20,525 61,576 30,788 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

More profiles

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