λ
Sequence Observatory

6,421,378

2 × 83 × 101 × 383
Deficient Even Composite

Starting at 6,421,378, the Collatz iteration reaches 1 after 121 steps. The first transition is 3210689; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 83 × 101 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,870,336
Proper Divisor Sum 3,448,958
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6421369 ← → #6421403

Radix Representation

Decimal 6421378
Binary 11000011111101110000010 (23 bits)
Octal 0o30375602
Hexadecimal 0x61FB82

Divisor Catalog (16)

1 2 83 101 166 202 383 766 8,383 16,766 31,789 38,683 63,578 77,366 3,210,689 6,421,378

Collatz Trajectory (121 steps to reach 1)

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

6,421,378 3,210,689 9,632,068 4,816,034 2,408,017 7,224,052 3,612,026 1,806,013 5,418,040 2,709,020 1,354,510 677,255 2,031,766 1,015,883 3,047,650 1,523,825 4,571,476 2,285,738 1,142,869 3,428,608 1,714,304 857,152 428,576 214,288 107,144 53,572 26,786 13,393 40,180 20,090 10,045 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794

More profiles

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