λ
Harmonic Matrix

3,022,372

22 × 755593
Deficient Even Composite

3,022,372 has digital root 1. The neighboring primes are 3022363 and 3022373; its proper-divisor sum differs from the starting integer by -755,586.

Prime Factor Structure

Factorization String 2^2 × 755593
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,289,158
Proper Divisor Sum 2,266,786
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3022363 ← → #3022373

Radix Representation

Decimal 3022372
Binary 1011100001111000100100 (22 bits)
Octal 0o13417044
Hexadecimal 0x2E1E24

Divisor Catalog (6)

1 2 4 755,593 1,511,186 3,022,372

Collatz Trajectory (94 steps to reach 1)

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

3,022,372 1,511,186 755,593 2,266,780 1,133,390 566,695 1,700,086 850,043 2,550,130 1,275,065 3,825,196 1,912,598 956,299 2,868,898 1,434,449 4,303,348 2,151,674 1,075,837 3,227,512 1,613,756 806,878 403,439 1,210,318 605,159 1,815,478 907,739 2,723,218 1,361,609 4,084,828 2,042,414 1,021,207 3,063,622 1,531,811 4,595,434 2,297,717 6,893,152 3,446,576 1,723,288 861,644 430,822 215,411 646,234 323,117 969,352 484,676 242,338 121,169 363,508 181,754 90,877 272,632 136,316 68,158 34,079 102,238 51,119 153,358 76,679 230,038 115,019

More profiles

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