λ
Prime Ledger

2,546,401

11 × 13 × 17807
Deficient Odd Composite

2,546,401 has the prime decomposition 11 × 13 × 17807. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 13 × 17807
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,991,744
Proper Divisor Sum 445,343
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2546393 ← → #2546429

Radix Representation

Decimal 2546401
Binary 1001101101101011100001 (22 bits)
Octal 0o11555341
Hexadecimal 0x26DAE1

Divisor Catalog (8)

1 11 13 143 17,807 195,877 231,491 2,546,401

Collatz Trajectory (218 steps to reach 1)

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

2,546,401 7,639,204 3,819,602 1,909,801 5,729,404 2,864,702 1,432,351 4,297,054 2,148,527 6,445,582 3,222,791 9,668,374 4,834,187 14,502,562 7,251,281 21,753,844 10,876,922 5,438,461 16,315,384 8,157,692 4,078,846 2,039,423 6,118,270 3,059,135 9,177,406 4,588,703 13,766,110 6,883,055 20,649,166 10,324,583 30,973,750 15,486,875 46,460,626 23,230,313 69,690,940 34,845,470 17,422,735 52,268,206 26,134,103 78,402,310 39,201,155 117,603,466 58,801,733 176,405,200 88,202,600 44,101,300 22,050,650 11,025,325 33,075,976 16,537,988 8,268,994 4,134,497 12,403,492 6,201,746 3,100,873 9,302,620 4,651,310 2,325,655 6,976,966 3,488,483

More profiles

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