λ
Prime Ledger

1,103,765

5 × 13 × 16981
Deficient Odd Composite

1,103,765 has the prime decomposition 5 × 13 × 16981. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 16981
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,426,488
Proper Divisor Sum 322,723
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1103749 ← → #1103779

Radix Representation

Decimal 1103765
Binary 100001101011110010101 (21 bits)
Octal 0o4153625
Hexadecimal 0x10D795

Divisor Catalog (8)

1 5 13 65 16,981 84,905 220,753 1,103,765

Collatz Trajectory (72 steps to reach 1)

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

1,103,765 3,311,296 1,655,648 827,824 413,912 206,956 103,478 51,739 155,218 77,609 232,828 116,414 58,207 174,622 87,311 261,934 130,967 392,902 196,451 589,354 294,677 884,032 442,016 221,008 110,504 55,252 27,626 13,813 41,440 20,720 10,360 5,180 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34

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