λ
Prime Ledger

1,097,805

3 × 5 × 163 × 449
Deficient Odd Composite

1,097,805 has the prime decomposition 3 × 5 × 163 × 449. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 163 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,771,200
Proper Divisor Sum 673,395
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1097797 ← → #1097819

Radix Representation

Decimal 1097805
Binary 100001100000001001101 (21 bits)
Octal 0o4140115
Hexadecimal 0x10C04D

Divisor Catalog (16)

1 3 5 15 163 449 489 815 1,347 2,245 2,445 6,735 73,187 219,561 365,935 1,097,805

Collatz Trajectory (121 steps to reach 1)

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

1,097,805 3,293,416 1,646,708 823,354 411,677 1,235,032 617,516 308,758 154,379 463,138 231,569 694,708 347,354 173,677 521,032 260,516 130,258 65,129 195,388 97,694 48,847 146,542 73,271 219,814 109,907 329,722 164,861 494,584 247,292 123,646 61,823 185,470 92,735 278,206 139,103 417,310 208,655 625,966 312,983 938,950 469,475 1,408,426 704,213 2,112,640 1,056,320 528,160 264,080 132,040 66,020 33,010 16,505 49,516 24,758 12,379 37,138 18,569 55,708 27,854 13,927 41,782

More profiles

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