λ
Harmonic Matrix

1,196,789

11 × 108799
Deficient Odd Composite

1,196,789 has digital root 5. The neighboring primes are 1196773 and 1196809; its proper-divisor sum differs from the starting integer by -1,087,978.

Prime Factor Structure

Factorization String 11 × 108799
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,305,600
Proper Divisor Sum 108,811
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #1196773 ← → #1196809

Radix Representation

Decimal 1196789
Binary 100100100001011110101 (21 bits)
Octal 0o4441365
Hexadecimal 0x1242F5

Divisor Catalog (4)

1 11 108,799 1,196,789

Collatz Trajectory (235 steps to reach 1)

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

1,196,789 3,590,368 1,795,184 897,592 448,796 224,398 112,199 336,598 168,299 504,898 252,449 757,348 378,674 189,337 568,012 284,006 142,003 426,010 213,005 639,016 319,508 159,754 79,877 239,632 119,816 59,908 29,954 14,977 44,932 22,466 11,233 33,700 16,850 8,425 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562

More profiles

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