λ
Prime Ledger

773,998

2 × 41 × 9439
Deficient Even Composite

773,998 has the prime decomposition 2 × 41 × 9439. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 41 × 9439
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,189,440
Proper Divisor Sum 415,442
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #773989 ← → #773999

Radix Representation

Decimal 773998
Binary 10111100111101101110 (20 bits)
Octal 0o2747556
Hexadecimal 0xBCF6E

Divisor Catalog (8)

1 2 41 82 9,439 18,878 386,999 773,998

Collatz Trajectory (193 steps to reach 1)

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

773,998 386,999 1,160,998 580,499 1,741,498 870,749 2,612,248 1,306,124 653,062 326,531 979,594 489,797 1,469,392 734,696 367,348 183,674 91,837 275,512 137,756 68,878 34,439 103,318 51,659 154,978 77,489 232,468 116,234 58,117 174,352 87,176 43,588 21,794 10,897 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482

More profiles

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