λ
Harmonic Matrix

2,211,382

2 × 1105691
Deficient Even Composite

2,211,382 has digital root 1. The neighboring primes are 2211373 and 2211409; its proper-divisor sum differs from the starting integer by -1,105,688.

Prime Factor Structure

Factorization String 2 × 1105691
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,317,076
Proper Divisor Sum 1,105,694
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2211373 ← → #2211409

Radix Representation

Decimal 2211382
Binary 1000011011111000110110 (22 bits)
Octal 0o10337066
Hexadecimal 0x21BE36

Divisor Catalog (4)

1 2 1,105,691 2,211,382

Collatz Trajectory (285 steps to reach 1)

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

2,211,382 1,105,691 3,317,074 1,658,537 4,975,612 2,487,806 1,243,903 3,731,710 1,865,855 5,597,566 2,798,783 8,396,350 4,198,175 12,594,526 6,297,263 18,891,790 9,445,895 28,337,686 14,168,843 42,506,530 21,253,265 63,759,796 31,879,898 15,939,949 47,819,848 23,909,924 11,954,962 5,977,481 17,932,444 8,966,222 4,483,111 13,449,334 6,724,667 20,174,002 10,087,001 30,261,004 15,130,502 7,565,251 22,695,754 11,347,877 34,043,632 17,021,816 8,510,908 4,255,454 2,127,727 6,383,182 3,191,591 9,574,774 4,787,387 14,362,162 7,181,081 21,543,244 10,771,622 5,385,811 16,157,434 8,078,717 24,236,152 12,118,076 6,059,038 3,029,519

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