λ
Harmonic Matrix

1,091,937

3 × 7 × 11 × 29 × 163
Deficient Odd Composite

1,091,937 has digital root 3. The neighboring primes are 1091917 and 1091939; its proper-divisor sum differs from the starting integer by -294,594.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 29 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,889,280
Proper Divisor Sum 797,343
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1091917 ← → #1091939

Radix Representation

Decimal 1091937
Binary 100001010100101100001 (21 bits)
Octal 0o4124541
Hexadecimal 0x10A961

Divisor Catalog (32)

1 3 7 11 21 29 33 77 87 163 203 231 319 489 609 957 1,141 1,793 2,233 3,423 4,727 5,379 6,699 12,551 14,181 33,089 37,653 51,997 99,267 155,991 363,979 1,091,937

Collatz Trajectory (178 steps to reach 1)

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

1,091,937 3,275,812 1,637,906 818,953 2,456,860 1,228,430 614,215 1,842,646 921,323 2,763,970 1,381,985 4,145,956 2,072,978 1,036,489 3,109,468 1,554,734 777,367 2,332,102 1,166,051 3,498,154 1,749,077 5,247,232 2,623,616 1,311,808 655,904 327,952 163,976 81,988 40,994 20,497 61,492 30,746 15,373 46,120 23,060 11,530 5,765 17,296 8,648 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193

More profiles

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