λ
Harmonic Matrix

1,212,563

11 × 110233
Deficient Odd Composite

1,212,563 has digital root 2. The neighboring primes are 1212551 and 1212569; its proper-divisor sum differs from the starting integer by -1,102,318.

Prime Factor Structure

Factorization String 11 × 110233
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,322,808
Proper Divisor Sum 110,245
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1212551 ← → #1212569

Radix Representation

Decimal 1212563
Binary 100101000000010010011 (21 bits)
Octal 0o4500223
Hexadecimal 0x128093

Divisor Catalog (4)

1 11 110,233 1,212,563

Collatz Trajectory (204 steps to reach 1)

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

1,212,563 3,637,690 1,818,845 5,456,536 2,728,268 1,364,134 682,067 2,046,202 1,023,101 3,069,304 1,534,652 767,326 383,663 1,150,990 575,495 1,726,486 863,243 2,589,730 1,294,865 3,884,596 1,942,298 971,149 2,913,448 1,456,724 728,362 364,181 1,092,544 546,272 273,136 136,568 68,284 34,142 17,071 51,214 25,607 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694

More profiles

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