λ
Harmonic Matrix

2,196,333

32 × 277 × 881
Deficient Odd Composite

2,196,333 has digital root 9. The neighboring primes are 2196331 and 2196347; its proper-divisor sum differs from the starting integer by -1,205,118.

Prime Factor Structure

Factorization String 3^2 × 277 × 881
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,187,548
Proper Divisor Sum 991,215
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2196331 ← → #2196347

Radix Representation

Decimal 2196333
Binary 1000011000001101101101 (22 bits)
Octal 0o10301555
Hexadecimal 0x21836D

Divisor Catalog (12)

1 3 9 277 831 881 2,493 2,643 7,929 244,037 732,111 2,196,333

Collatz Trajectory (179 steps to reach 1)

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

2,196,333 6,589,000 3,294,500 1,647,250 823,625 2,470,876 1,235,438 617,719 1,853,158 926,579 2,779,738 1,389,869 4,169,608 2,084,804 1,042,402 521,201 1,563,604 781,802 390,901 1,172,704 586,352 293,176 146,588 73,294 36,647 109,942 54,971 164,914 82,457 247,372 123,686 61,843 185,530 92,765 278,296 139,148 69,574 34,787 104,362 52,181 156,544 78,272 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324

More profiles

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