λ
Harmonic Matrix

642,423

3 × 214141
Deficient Odd Composite

642,423 has digital root 3. The neighboring primes are 642419 and 642427; its proper-divisor sum differs from the starting integer by -428,278.

Prime Factor Structure

Factorization String 3 × 214141
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 856,568
Proper Divisor Sum 214,145
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #642419 ← → #642427

Radix Representation

Decimal 642423
Binary 10011100110101110111 (20 bits)
Octal 0o2346567
Hexadecimal 0x9CD77

Divisor Catalog (4)

1 3 214,141 642,423

Collatz Trajectory (216 steps to reach 1)

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

642,423 1,927,270 963,635 2,890,906 1,445,453 4,336,360 2,168,180 1,084,090 542,045 1,626,136 813,068 406,534 203,267 609,802 304,901 914,704 457,352 228,676 114,338 57,169 171,508 85,754 42,877 128,632 64,316 32,158 16,079 48,238 24,119 72,358 36,179 108,538 54,269 162,808 81,404 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075

More profiles

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