λ
Sequence Observatory

3,287,296

28 × 12841
Deficient Even Composite

Starting at 3,287,296, the Collatz iteration reaches 1 after 169 steps. The first transition is 1643648; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 12841
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,562,262
Proper Divisor Sum 3,274,966
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3287293 ← → #3287309

Radix Representation

Decimal 3287296
Binary 1100100010100100000000 (22 bits)
Octal 0o14424400
Hexadecimal 0x322900

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 12,841 25,682 51,364 102,728 205,456 410,912 821,824 1,643,648 3,287,296

Collatz Trajectory (169 steps to reach 1)

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

3,287,296 1,643,648 821,824 410,912 205,456 102,728 51,364 25,682 12,841 38,524 19,262 9,631 28,894 14,447 43,342 21,671 65,014 32,507 97,522 48,761 146,284 73,142 36,571 109,714 54,857 164,572 82,286 41,143 123,430 61,715 185,146 92,573 277,720 138,860 69,430 34,715 104,146 52,073 156,220 78,110 39,055 117,166 58,583 175,750 87,875 263,626 131,813 395,440 197,720 98,860 49,430 24,715 74,146 37,073 111,220 55,610 27,805 83,416 41,708 20,854

More profiles

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