λ
Harmonic Matrix

4,322,962

2 × 7 × 432 × 167
Deficient Even Composite

4,322,962 has digital root 1. The neighboring primes are 4322951 and 4322963; its proper-divisor sum differs from the starting integer by -1,013,348.

Prime Factor Structure

Factorization String 2 × 7 × 43^2 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,632,576
Proper Divisor Sum 3,309,614
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4322951 ← → #4322963

Radix Representation

Decimal 4322962
Binary 10000011111011010010010 (23 bits)
Octal 0o20373222
Hexadecimal 0x41F692

Divisor Catalog (24)

1 2 7 14 43 86 167 301 334 602 1,169 1,849 2,338 3,698 7,181 12,943 14,362 25,886 50,267 100,534 308,783 617,566 2,161,481 4,322,962

Collatz Trajectory (149 steps to reach 1)

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

4,322,962 2,161,481 6,484,444 3,242,222 1,621,111 4,863,334 2,431,667 7,295,002 3,647,501 10,942,504 5,471,252 2,735,626 1,367,813 4,103,440 2,051,720 1,025,860 512,930 256,465 769,396 384,698 192,349 577,048 288,524 144,262 72,131 216,394 108,197 324,592 162,296 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061 462,184 231,092 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422

More profiles

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