λ
Sequence Observatory

2,656,478

2 × 11 × 120749
Deficient Even Composite

Starting at 2,656,478, the Collatz iteration reaches 1 after 143 steps. The first transition is 1328239; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 120749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,347,000
Proper Divisor Sum 1,690,522
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2656457 ← → #2656499

Radix Representation

Decimal 2656478
Binary 1010001000100011011110 (22 bits)
Octal 0o12104336
Hexadecimal 0x2888DE

Divisor Catalog (8)

1 2 11 22 120,749 241,498 1,328,239 2,656,478

Collatz Trajectory (143 steps to reach 1)

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

2,656,478 1,328,239 3,984,718 1,992,359 5,977,078 2,988,539 8,965,618 4,482,809 13,448,428 6,724,214 3,362,107 10,086,322 5,043,161 15,129,484 7,564,742 3,782,371 11,347,114 5,673,557 17,020,672 8,510,336 4,255,168 2,127,584 1,063,792 531,896 265,948 132,974 66,487 199,462 99,731 299,194 149,597 448,792 224,396 112,198 56,099 168,298 84,149 252,448 126,224 63,112 31,556 15,778 7,889 23,668 11,834 5,917 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810

More profiles

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