λ
Sequence Observatory

6,854,110

2 × 5 × 137 × 5003
Deficient Even Composite

Starting at 6,854,110, the Collatz iteration reaches 1 after 222 steps. The first transition is 3427055; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 137 × 5003
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,429,936
Proper Divisor Sum 5,575,826
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6854101 ← → #6854123

Radix Representation

Decimal 6854110
Binary 11010001001010111011110 (23 bits)
Octal 0o32112736
Hexadecimal 0x6895DE

Divisor Catalog (16)

1 2 5 10 137 274 685 1,370 5,003 10,006 25,015 50,030 685,411 1,370,822 3,427,055 6,854,110

Collatz Trajectory (222 steps to reach 1)

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

6,854,110 3,427,055 10,281,166 5,140,583 15,421,750 7,710,875 23,132,626 11,566,313 34,698,940 17,349,470 8,674,735 26,024,206 13,012,103 39,036,310 19,518,155 58,554,466 29,277,233 87,831,700 43,915,850 21,957,925 65,873,776 32,936,888 16,468,444 8,234,222 4,117,111 12,351,334 6,175,667 18,527,002 9,263,501 27,790,504 13,895,252 6,947,626 3,473,813 10,421,440 5,210,720 2,605,360 1,302,680 651,340 325,670 162,835 488,506 244,253 732,760 366,380 183,190 91,595 274,786 137,393 412,180 206,090 103,045 309,136 154,568 77,284 38,642 19,321 57,964 28,982 14,491 43,474

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