λ
Harmonic Matrix

1,121,289

3 × 13 × 28751
Deficient Odd Composite

1,121,289 has digital root 6. The neighboring primes are 1121261 and 1121293; its proper-divisor sum differs from the starting integer by -632,466.

Prime Factor Structure

Factorization String 3 × 13 × 28751
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,610,112
Proper Divisor Sum 488,823
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1121261 ← → #1121293

Radix Representation

Decimal 1121289
Binary 100010001110000001001 (21 bits)
Octal 0o4216011
Hexadecimal 0x111C09

Divisor Catalog (8)

1 3 13 39 28,751 86,253 373,763 1,121,289

Collatz Trajectory (209 steps to reach 1)

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

1,121,289 3,363,868 1,681,934 840,967 2,522,902 1,261,451 3,784,354 1,892,177 5,676,532 2,838,266 1,419,133 4,257,400 2,128,700 1,064,350 532,175 1,596,526 798,263 2,394,790 1,197,395 3,592,186 1,796,093 5,388,280 2,694,140 1,347,070 673,535 2,020,606 1,010,303 3,030,910 1,515,455 4,546,366 2,273,183 6,819,550 3,409,775 10,229,326 5,114,663 15,343,990 7,671,995 23,015,986 11,507,993 34,523,980 17,261,990 8,630,995 25,892,986 12,946,493 38,839,480 19,419,740 9,709,870 4,854,935 14,564,806 7,282,403 21,847,210 10,923,605 32,770,816 16,385,408 8,192,704 4,096,352 2,048,176 1,024,088 512,044 256,022

More profiles

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