442,093

433 × 1021

442,093 has digital root 4. The neighboring primes are 442069 and 442097; its proper-divisor sum differs from the starting integer by -440,638.

Prime Factor Structure

Factorization String 433 × 1021

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 443,548

Proper Divisor Sum 1,455

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #442069 ← → #442097

Radix Representation

Decimal	442093
Binary	1101011111011101101 (19 bits)
Octal	0o1537355
Hexadecimal	0x6BEED

Divisor Catalog (4)

1 433 1,021 442,093

Collatz Trajectory (125 steps to reach 1)

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

442,093 1,326,280 663,140 331,570 165,785 497,356 248,678 124,339 373,018 186,509 559,528 279,764 139,882 69,941 209,824 104,912 52,456 26,228 13,114 6,557 19,672 9,836 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846

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