λ
Harmonic Matrix

442,802

2 × 221401
Deficient Even Composite

442,802 has digital root 2. The neighboring primes are 442789 and 442807; its proper-divisor sum differs from the starting integer by -221,398.

Prime Factor Structure

Factorization String 2 × 221401
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 664,206
Proper Divisor Sum 221,404
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #442789 ← → #442807

Radix Representation

Decimal 442802
Binary 1101100000110110010 (19 bits)
Octal 0o1540662
Hexadecimal 0x6C1B2

Divisor Catalog (4)

1 2 221,401 442,802

Collatz Trajectory (94 steps to reach 1)

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

442,802 221,401 664,204 332,102 166,051 498,154 249,077 747,232 373,616 186,808 93,404 46,702 23,351 70,054 35,027 105,082 52,541 157,624 78,812 39,406 19,703 59,110 29,555 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472

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